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entropyecho

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#51 entropyecho
Member since 2005 • 22053 Posts

[QUOTE="entropyecho"]

It would be irrational for him to think the Earth is flat.

Theokhoth

How come?

The methods you described for him to reach his conclusions are sensory - there is no intellectual or deductive process to reach, "truth" and so it is not rational.

:?

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Theokhoth

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#52 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="leonard88"] because not being exposed to the right information would mean that what you think is true is actually true therefore with no one around anything you think is true to only you leonard88

So what is rational is based on what is true?

no it would depend on what are you perceiving in this situation yes because he grew up in a isolated environment of no knowledge of anything so he would believe anything while other cases it doesnt have to be true to be rational

Then what you meant to say was "it would NOT be irrational."

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bededog

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#53 bededog
Member since 2005 • 8579 Posts
Okay, I would like to rephrase my answer a bit. We know the person does in this instances is make the assumption that they earth is flat. This isn't a bad assumption, it is what would naturally come about. But that doesn't make it true and he hasn't tested that idea within his full potential. Using his ability to reason, he would note that if the earth is flat, then it isn't round. Since he can't directly test to see if the earth is flat, he will test to make sure it's not round. So he does the shadow experiment and will find out that the earth is, in fact, round.
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chessmaster1989

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#54 chessmaster1989
Member since 2008 • 30203 Posts

[QUOTE="Theokhoth"]

[QUOTE="black_tempest"] I guess that could be right, or it could be applied to anything in which a person has been raised to believe something and has never been provided sufficient evidence to prove otherwise.black_tempest

That's good, but it goes beyond a God v. Science debate.

Thats why I said it could be applied to anything..... because I realized that you wouldn't restrict your theory solely to religion (or did it appear as though I added science to chessmasters religion, if so that was not my intention, sorry)

lolquewututalkinboutwillis?

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Theokhoth

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#55 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="entropyecho"]

It would be irrational for him to think the Earth is flat.

entropyecho

How come?

The methods you described for him to reach his conclusions are sensory - there is no intellectual or deductive process to reach, "truth" and so it is not rational.

:?

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

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tycoonmike

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#56 tycoonmike
Member since 2005 • 6082 Posts

Indeed you are. Science inevitably comes up, but we need to get past the bare basics first.

Theokhoth

I've already pinned your argument to science, so we had might as well cut through the crap and get straight to the heart of the matter. You are proposing that science is subjective based upon one's world view. You contradict those people who claim science to be subjective.

As such, your logic is faulty. Science exists irrespective of a being's ability to produce it. The knowledge to build skyscrapers is in this universe's science but we haven't seen saber-toothed tigers or chimpanzees design and build the Empire State Building.

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Theokhoth

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#57 Theokhoth
Member since 2008 • 36799 Posts

Okay, I would like to rephrase my answer a bit. We know the person does in this instances is make the assumption that they earth is flat. This isn't a bad assumption, it is what would naturally come about. But that doesn't make it true and he hasn't tested that idea within his full potential. Using his ability to reason, he would note that if the earth is flat, then it isn't round. Since he can't directly test to see if the earth is flat, he will test to make sure it's not round. So he does the shadow experiment and will find out that the earth is, in fact, round. bededog

What if he isn't aware of the shadow experiment? Or what if he goes about the shadow experiment wrongly and uses it to conclude that the earth is flat?

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Omega_Zero69

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#58 Omega_Zero69
Member since 2006 • 13668 Posts

[QUOTE="leonard88"][QUOTE="Theokhoth"]

So what is rational is based on what is true?

Theokhoth

no it would depend on what are you perceiving in this situation yes because he grew up in a isolated environment of no knowledge of anything so he would believe anything while other cases it doesnt have to be true to be rational

Then what you meant to say was "it would NOT be irrational."

uh yeah i meant that :P
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Theokhoth

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#59 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

Indeed you are. Science inevitably comes up, but we need to get past the bare basics first.

tycoonmike

I've already pinned your argument to science, so we had might as well cut through the crap and get straight to the heart of the matter. You are proposing that science is subjective based upon one's world view.

No. Science is objective. I'm talking rationality, not science. Science will come up, but first we need to go through the "crap."

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jimmyjammer69

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#60 jimmyjammer69
Member since 2008 • 12239 Posts
[QUOTE="Theokhoth"]

[QUOTE="entropyecho"]

[QUOTE="Theokhoth"]

How come?

The methods you described for him to reach his conclusions are sensory - there is no intellectual or deductive process to reach, "truth" and so it is not rational.

:?

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

I'm not great at this stuff, but isn't that inductive reasoning rather than deductive? :?
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bededog

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#61 bededog
Member since 2005 • 8579 Posts

What if he isn't aware of the shadow experiment? Or what if he goes about the shadow experiment wrongly and uses it to conclude that the earth is flat?

Theokhoth
Then he tried to the best of his abilities and was well within reason. But that is why there is such things as peer reviews that make sure experiments are done correctly and all possible avenues are considered.
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Theokhoth

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#62 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="entropyecho"]

The methods you described for him to reach his conclusions are sensory - there is no intellectual or deductive process to reach, "truth" and so it is not rational.

:?

jimmyjammer69

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

I'm not great at this stuff, but isn't that inductive reasoning rather than deductive? :?

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

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black_tempest

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#63 black_tempest
Member since 2008 • 2459 Posts
Okay, I would like to rephrase my answer a bit. We know the person does in this instances is make the assumption that they earth is flat. This isn't a bad assumption, it is what would naturally come about. But that doesn't make it true and he hasn't tested that idea within his full potential. Using his ability to reason, he would note that if the earth is flat, then it isn't round. Since he can't directly test to see if the earth is flat, he will test to make sure it's not round. So he does the shadow experiment and will find out that the earth is, in fact, round. bededog
But he's isolated on a dessert, how would he ever come up with the shadow experiment?
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bededog

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#64 bededog
Member since 2005 • 8579 Posts
But he's isolated on a dessert, how would he ever come up with the shadow experiment? black_tempest
Well someone has to come up with the idea first, and this person shall be that person!
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Theokhoth

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#65 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

What if he isn't aware of the shadow experiment? Or what if he goes about the shadow experiment wrongly and uses it to conclude that the earth is flat?

bededog

Then he tried to the best of his abilities and was well within reason. But that is why there is such things as peer reviews that make sure experiments are done correctly and all possible avenues are considered.

Good, good. So based on all of this: would you agree that rationality is not necessarily based on what is true but on whether or not we try to the best of our ability to find out what is true?

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chessmaster1989

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#66 chessmaster1989
Member since 2008 • 30203 Posts

[QUOTE="jimmyjammer69"][QUOTE="Theokhoth"]

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

Theokhoth

I'm not great at this stuff, but isn't that inductive reasoning rather than deductive? :?

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

No, this is induction:

To show: P(n) is true

How to show:

1. Show P(1) is true

2. Assume P(k) is true

3. Show that P(k+1) is true

Example:

To show: 3^n>2^n for any n in N={1,2,3,...,n,...}

1. P(1): 3^1 = 3 > 2 = 2^1, check

2. P(k): 3^k > 2^k true

3. P(k+1): 3^(k+1) = 3*3^k > 3*2^k (since 3^k>2^k) > 2*2^k (since 3>2) = 2^(k+1), check

Therefore, 3^n > 2^n

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Tauruslink

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#67 Tauruslink
Member since 2005 • 6586 Posts
He would probably think, "Well if this ground goes on forever in all directions, then how does the sun "sink" into it from one side and "rise" from the other? I know from my experience living in this desert that the ground is solid, so the sun cannot possibly go through the ground. This makes me think that the earth must be round!!"
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bededog

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#68 bededog
Member since 2005 • 8579 Posts

Good, good. So based on all of this: would you agree that rationality is not necessarily based on what is true but on whether or not we try to the best of our ability to find out what is true?

Theokhoth
I think I would agree with that definition, or at least I can't see fault with it yet.
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Theokhoth

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#69 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="jimmyjammer69"] I'm not great at this stuff, but isn't that inductive reasoning rather than deductive? :?chessmaster1989

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

No, this is induction:

To show: P(n) is true

How to show:

1. Show P(1) is true

2. Assume P(k) is true

3. Show that P(k+1) is true

Example:

To show: 3^n>2^n for any n in N={1,2,3,...,n,...}

1. P(1): 3^1 = 3 > 2 = 2^1, check

2. P(k): 3^k > 2^k true

3. P(k+1): 3^(k+1) = 3*3^k > 3*2^k (since 3^k>2^k) > 2*2^k (since 3>2) = 2^(k+1), check

Therefore, 3^n > 2^n

Translate that into English and I'll get back to you. >_>

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chessmaster1989

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#70 chessmaster1989
Member since 2008 • 30203 Posts

[QUOTE="chessmaster1989"]

[QUOTE="Theokhoth"]

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

Theokhoth

No, this is induction:

To show: P(n) is true

How to show:

1. Show P(1) is true

2. Assume P(k) is true

3. Show that P(k+1) is true

Example:

To show: 3^n>2^n for any n in N={1,2,3,...,n,...}

1. P(1): 3^1 = 3 > 2 = 2^1, check

2. P(k): 3^k > 2^k true

3. P(k+1): 3^(k+1) = 3*3^k > 3*2^k (since 3^k>2^k) > 2*2^k (since 3>2) = 2^(k+1), check

Therefore, 3^n > 2^n

Translate that into English and I'll get back to you. >_>

Essentially, you want to prove a mathematical statement, designated P(n) (in my example, you want to prove P(n): 3^n > 2^n). To do so, you first prove P(1) is true. Then, assuming that P(k) is true, you prove that P(k+1) is true. Thus, you have proved that P(n) is true for any natural number n.

:P

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jimmyjammer69

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#71 jimmyjammer69
Member since 2008 • 12239 Posts

[QUOTE="jimmyjammer69"][QUOTE="Theokhoth"]

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

Theokhoth

I'm not great at this stuff, but isn't that inductive reasoning rather than deductive? :?

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

Sorry for copy/pasting like this, but my understanding is too hazy on this for me to explain myself. I really thinkthis was a case of inductive rather than deductive logic:

Deduction: In the process of deduction, you begin with some statements, called 'premises', that are assumed to be true, you then determine what else would have to be true if the premises are true. For example, you can begin by assuming that God exists, and is good, and then determine what would logically follow from such an assumption. You can begin by assuming that if you think, then you must exist, and work from there. In mathematics you can begin with some axioms and then determine what you can prove to be true given those axioms. With deduction you can provide absolute proof of your conclusions, given that your premises are correct. The premises themselves, however, remain unproven and unprovable, they must be accepted on face value, or by faith, or for the purpose of exploration.

Induction: In the process of induction, you begin with some data, and then determine what general conclusion(s) can logically be derived from those data. In other words, you determine what theory or theories could explain the data. For example, you note that the probability of becoming schizophrenic is greatly increased if at least one parent is schizophrenic, and from that you conclude that schizophrenia may be inherited. That is certainly a reasonable hypothesis given the data. Note, however, that induction does not prove that the theory is correct. There are often alternative theories that are also supported by the data. For example, the behavior of the schizophrenic parent may cause the child to be schizophrenic, not the genes. What is important in induction is that the theory does indeed offer a logical explanation of the data. To conclude that the parents have no effect on the schizophrenia of the children is not supportable given the data, and would not be a logical conclusion.

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alphamale1989

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#72 alphamale1989
Member since 2008 • 3134 Posts
If he concluded that the earth was flat, and that the sun is a glowing shere that rises and falls he would be perfectly rational. He has no way of possibly knowing otherwise - he would need knowlege of math, a telescope, and lots of time to study the world and a method to record his findings. If this man is making the most logical observation he can based on the information he was given.
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Theokhoth

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#73 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

Good, good. So based on all of this: would you agree that rationality is not necessarily based on what is true but on whether or not we try to the best of our ability to find out what is true?

bededog

I think I would agree with that definition, or at least I can't see fault with it yet.

Goody! Now we can move on to the hard part.

Since we know that the rationality of a given belief is not necessarily rooted in the truth of that belief, we have to figure out whether or not that belief is true. And thus, the system we call logic is born.

Logic breaks off into two general areas: science and philosophy. Each one uses different forms of logic to discern different parts of the truth: science looks for truth of the empirical and philosophy looks for truth of the spiritual (note that when I say "spiritual" I mean nothing empirical, including ethics, religion, ideology, and so on).

So based on this, we have this little tree: Science = logic = rationality; philosophy = logic = rationality.

Now we get into the fun part. Since both science and philosophy address different areas of reality, what do we do when the two conflict with eachother?

(*WARNING, IT'S A TRICK QUESTION*)

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Theokhoth

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#74 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="chessmaster1989"]

No, this is induction:

To show: P(n) is true

How to show:

1. Show P(1) is true

2. Assume P(k) is true

3. Show that P(k+1) is true

Example:

To show: 3^n>2^n for any n in N={1,2,3,...,n,...}

1. P(1): 3^1 = 3 > 2 = 2^1, check

2. P(k): 3^k > 2^k true

3. P(k+1): 3^(k+1) = 3*3^k > 3*2^k (since 3^k>2^k) > 2*2^k (since 3>2) = 2^(k+1), check

Therefore, 3^n > 2^n

chessmaster1989

Translate that into English and I'll get back to you. >_>

Essentially, you want to prove a mathematical statement, designated P(n) (in my example, you want to prove P(n): 3^n > 2^n). To do so, you first prove P(1) is true. Then, assuming that P(k) is true, you prove that P(k+1) is true. Thus, you have proved that P(n) is true for any natural number n.

:P

Either you're being a smartass or my ability to translate logic into mathematics has shut down completely. :P

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Locke562

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#75 Locke562
Member since 2004 • 7673 Posts
Now we get into the fun part. Since both science and philosophy address different areas of reality, what do we do when the two conflict with eachother?Theokhoth
Draw battle lines; argue endlessly; escalate the situation; kill each other.
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entropyecho

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#76 entropyecho
Member since 2005 • 22053 Posts

[QUOTE="entropyecho"]

[QUOTE="Theokhoth"]

How come?

Theokhoth

The methods you described for him to reach his conclusions are sensory - there is no intellectual or deductive process to reach, "truth" and so it is not rational.

:?

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

Conclusions based on sensory experiences alone should be doubted - you are not ruling out illusions. A rational pursuit of truth should doubt every belief about reality.

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Theokhoth

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#77 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="jimmyjammer69"] I'm not great at this stuff, but isn't that inductive reasoning rather than deductive? :?jimmyjammer69

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

Sorry for copy/pasting like this, but my understanding is too hazy on this for me to explain myself. I really thinkthis was a case of inductive rather than deductive logic:

Deduction: In the process of deduction, you begin with some statements, called 'premises', that are assumed to be true, you then determine what else would have to be true if the premises are true. For example, you can begin by assuming that God exists, and is good, and then determine what would logically follow from such an assumption. You can begin by assuming that if you think, then you must exist, and work from there. In mathematics you can begin with some axioms and then determine what you can prove to be true given those axioms. With deduction you can provide absolute proof of your conclusions, given that your premises are correct. The premises themselves, however, remain unproven and unprovable, they must be accepted on face value, or by faith, or for the purpose of exploration.

Induction: In the process of induction, you begin with some data, and then determine what general conclusion(s) can logically be derived from those data. In other words, you determine what theory or theories could explain the data. For example, you note that the probability of becoming schizophrenic is greatly increased if at least one parent is schizophrenic, and from that you conclude that schizophrenia may be inherited. That is certainly a reasonable hypothesis given the data. Note, however, that induction does not prove that the theory is correct. There are often alternative theories that are also supported by the data. For example, the behavior of the schizophrenic parent may cause the child to be schizophrenic, not the genes. What is important in induction is that the theory does indeed offer a logical explanation of the data. To conclude that the parents have no effect on the schizophrenia of the children is not supportable given the data, and would not be a logical conclusion.

Like I said, they are linked. On the one hand, it is inductive reasoning; however, inductive reasoning (by your definition) assumes that we know the answer already. In my hypothetical, we don't know the answer. The only way to come up with the answer is by concluding x based on y, which we assume to be true ("The Earth is flat beneath me, so it must be flat everywhere"). Deductive reasoning. Deductive reasononing does not always lead to the right answer.

In addition, your definitions correlate with mine. Read the green.

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Theokhoth

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#78 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="entropyecho"]

The methods you described for him to reach his conclusions are sensory - there is no intellectual or deductive process to reach, "truth" and so it is not rational.

:?

entropyecho

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

Conclusions based on sensory experiences alone should be doubted - you are not ruling out illusions. A rational pursuit of truth should doubt every belief about reality.

The problem here is now we can never know what reality is; because evrry conclusion we reach could be part of that illusion.

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Theokhoth

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#79 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]Now we get into the fun part. Since both science and philosophy address different areas of reality, what do we do when the two conflict with eachother?Locke562
Draw battle lines; argue endlessly; escalate the situation; kill each other.

:D I love it when people do that. :D

What should we do?

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deactivated-5e7f221e304c9

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#80 deactivated-5e7f221e304c9
Member since 2004 • 14645 Posts
Pretty reasonable.
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p2rus

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#81 p2rus
Member since 2005 • 2859 Posts

The only way to come up with the answer is by concluding x based on y, which we assume to be true ("The Earth is flat beneath me, so it must be flat everywhere"). Deductive reasoning. Deductive reasononing does not always lead to the right answer.

In addition, your definitions correlate with mine. Read the green.

Theokhoth

No, deductive reasoning would mean that youd have to literally go everywhere in the entire world and see everywhere and see that its flat. By asuming the world is flat everywhere you are using inductive reasoning. Also if you hypothesized that the earth ends at a certain point, youd have to actually observe it using deductive reasoning in order to prove to yourself that you were right...

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entropyecho

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#82 entropyecho
Member since 2005 • 22053 Posts

[QUOTE="entropyecho"]

[QUOTE="Theokhoth"]

He sees the world around him and makes conclusions about the world based on what he sees. That would be deductive.

Theokhoth

Conclusions based on sensory experiences alone should be doubted - you are not ruling out illusions. A rational pursuit of truth should doubt every belief about reality.

The problem here is now we can never know what reality is; because evrry conclusion we reach could be part of that illusion.

Exactly, there is no spoon :P

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Theokhoth

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#83 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]The only way to come up with the answer is by concluding x based on y, which we assume to be true ("The Earth is flat beneath me, so it must be flat everywhere"). Deductive reasoning. Deductive reasononing does not always lead to the right answer.

In addition, your definitions correlate with mine. Read the green.

p2rus

No, deductive reasoning would mean that youd have to literally go everywhere in the entire world and see everywhere and see that its flat. By asuming the world is flat everywhere you are using inductive reasoning. Also if you hypothesized that the earth ends at a certain point, youd have to actually observe it using deductive reasoning in order to prove to yourself that you were right...

Once again, you assume we know what "everywhere in the world" is. Wouldn't the guy living in the desert think the desert was the whole world, regardless of whether or not he was right?

What you're saying is correct, but only if we previously know the truth of a certain matter. If we don't, then things change.

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Theokhoth

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#84 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

[QUOTE="entropyecho"]

Conclusions based on sensory experiences alone should be doubted - you are not ruling out illusions. A rational pursuit of truth should doubt every belief about reality.

entropyecho

The problem here is now we can never know what reality is; because evrry conclusion we reach could be part of that illusion.

Exactly, there is no spoon :P

:P Eventually we're going to have to assume that yes, there is a spoon; otherwise we're just wasting time. :P

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bededog

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#85 bededog
Member since 2005 • 8579 Posts

Goody! Now we can move on to the hard part.

Since we know that the rationality of a given belief is not necessarily rooted in the truth of that belief, we have to figure out whether or not that belief is true. And thus, the system we call logic is born.

Logic breaks off into two general areas: science and philosophy. Each one uses different forms of logic to discern different parts of the truth: science looks for truth of the empirical and philosophy looks for truth of the spiritual (note that when I say "spiritual" I mean nothing empirical, including ethics, religion, ideology, and so on).

So based on this, we have this little tree: Science = logic = rationality; philosophy = logic = rationality.

Now we get into the fun part. Since both science and philosophy address different areas of reality, what do we do when the two conflict with eachother?

(*WARNING, IT'S A TRICK QUESTION*)

Theokhoth
When it comes to that point you have to go with science since it is based upon empirical evidence and is thus objective. Although philosophy is nice, it has no empirical evidence to show it's right or wrong. Although since this is a trick question obviously the world implodes.
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p2rus

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#86 p2rus
Member since 2005 • 2859 Posts

[QUOTE="p2rus"]

[QUOTE="Theokhoth"]The only way to come up with the answer is by concluding x based on y, which we assume to be true ("The Earth is flat beneath me, so it must be flat everywhere"). Deductive reasoning. Deductive reasononing does not always lead to the right answer.

In addition, your definitions correlate with mine. Read the green.

Theokhoth

No, deductive reasoning would mean that youd have to literally go everywhere in the entire world and see everywhere and see that its flat. By asuming the world is flat everywhere you are using inductive reasoning. Also if you hypothesized that the earth ends at a certain point, youd have to actually observe it using deductive reasoning in order to prove to yourself that you were right...

Once again, you assume we know what "everywhere in the world" is. Wouldn't the guy living in the desert think the desert was the whole world, regardless of whether or not he was right?

What you're saying is correct, but only if we previously know the truth of a certain matter. If we don't, then things change.

yes, if he doesnt know where everywhere in the world is, he cannot make a reasonable conjecture saying that the earth is flat. Also, man doesnt exist in isolation - society influences science and vice versa - paradigm shifts change the way we see the "desert," and eventually that man / society will find out that the earth is not flat through the scientific method.
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McJugga

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#87 McJugga
Member since 2007 • 9453 Posts
I don't think he would be thinking about it. He would be more like an animal then a human (assuming he did not have parents.)
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jimmyjammer69

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#88 jimmyjammer69
Member since 2008 • 12239 Posts

[QUOTE="jimmyjammer69"]

[QUOTE="Theokhoth"]

the two are linked, but this is not inductive reasoning. Inductive reasoning is assuming something will happen because it's happened before, many times. Example: The sun will rise tomorrow because it rises every day.

Theokhoth

Sorry for copy/pasting like this, but my understanding is too hazy on this for me to explain myself. I really thinkthis was a case of inductive rather than deductive logic:

Deduction: In the process of deduction, you begin with some statements, called 'premises', that are assumed to be true, you then determine what else would have to be true if the premises are true. For example, you can begin by assuming that God exists, and is good, and then determine what would logically follow from such an assumption. You can begin by assuming that if you think, then you must exist, and work from there. In mathematics you can begin with some axioms and then determine what you can prove to be true given those axioms. With deduction you can provide absolute proof of your conclusions, given that your premises are correct. The premises themselves, however, remain unproven and unprovable, they must be accepted on face value, or by faith, or for the purpose of exploration.

Induction: In the process of induction, you begin with some data, and then determine what general conclusion(s) can logically be derived from those data. In other words, you determine what theory or theories could explain the data. For example, you note that the probability of becoming schizophrenic is greatly increased if at least one parent is schizophrenic, and from that you conclude that schizophrenia may be inherited. That is certainly a reasonable hypothesis given the data. Note, however, that induction does not prove that the theory is correct. There are often alternative theories that are also supported by the data. For example, the behavior of the schizophrenic parent may cause the child to be schizophrenic, not the genes. What is important in induction is that the theory does indeed offer a logical explanation of the data. To conclude that the parents have no effect on the schizophrenia of the children is not supportable given the data, and would not be a logical conclusion.

Like I said, they are linked. On the one hand, it is inductive reasoning; however, inductive reasoning (by your definition) assumes that we know the answer already. In my hypothetical, we don't know the answer. The only way to come up with the answer is by concluding x based on y, which we assume to be true ("The Earth is flat beneath me, so it must be flat everywhere"). Deductive reasoning. Deductive reasononing does not always lead to the right answer.

In addition, your definitions correlate with mine. Read the green.

Like I say, I'm very weak on epistemology, but the definitions seem to be suggesting that deductive logic moves from a general theory to resultant necessary truths, while inductive reasoning takes us from a specific observation to a general theory. As far as I can tell, observing the ground and assuming the shape of the earth as a tentative conclusion would still be an example of inductive logic.

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Theokhoth

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#90 Theokhoth
Member since 2008 • 36799 Posts

[QUOTE="Theokhoth"]

Goody! Now we can move on to the hard part.

Since we know that the rationality of a given belief is not necessarily rooted in the truth of that belief, we have to figure out whether or not that belief is true. And thus, the system we call logic is born.

Logic breaks off into two general areas: science and philosophy. Each one uses different forms of logic to discern different parts of the truth: science looks for truth of the empirical and philosophy looks for truth of the spiritual (note that when I say "spiritual" I mean nothing empirical, including ethics, religion, ideology, and so on).

So based on this, we have this little tree: Science = logic = rationality; philosophy = logic = rationality.

Now we get into the fun part. Since both science and philosophy address different areas of reality, what do we do when the two conflict with eachother?

(*WARNING, IT'S A TRICK QUESTION*)

bededog

When it comes to that point you have to go with science since it is based upon empirical evidence and is thus objective. Although philosophy is nice, it has no empirical evidence to show it's right or wrong.

Nope!

Science and philosophy both address areas of reality. If reality is objective, then both philosophy and science are objective.

Empirical evidence is nice until you realise that we don't even know if the "empirical" exists. Like the other guy pointed out. We have to assume it's real. . . but we can't do that empirically. That leaves us one option.:D

If they both address areas of reality, then they can't contradict eachother. The empirical and the non-empirical should pretty much agree with eachother.

Now, pay attention to this part because it's going to start looking like I'm advocating Social Darwinism. I am NOT saying that if we come to an empirical conclusion about reality that the philosophical conclusion must line up with it (i.e. if we conclude that a certain genetic race is inferior, we should wipe it out). Nor am I saying that if we conclude something to be morally acceptable, there must be empirical data to coincide with it.

I'm saying that what we conclude, empirical or philosophical, must be reasonable.

Now, would you agree that we are sometimes wrong about conclusions regarding empirical data?

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Theokhoth

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#91 Theokhoth
Member since 2008 • 36799 Posts

I bet hillbillies who got their elementary school diploma (it's an accomplishment) in the deep south think the world is flat, let alone a guy who grows up in a desert with no education. TwiztidJoker

Hm, I live in the South. . .

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luke1889

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#92 luke1889
Member since 2004 • 14617 Posts
No, I think that is a perfectly acceptable conclusion.
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BumFluff122

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#93 BumFluff122
Member since 2004 • 14853 Posts

He probably would have no idea about anything scientific whatsoever. However if he wanted to question if the Earth was fkat or not all he would have to do is look at the horizon and see how it curves.

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Forumposter

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#94 Forumposter
Member since 2008 • 847 Posts
well, he could walk endlessly and reach some city D:
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Theokhoth

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#95 Theokhoth
Member since 2008 • 36799 Posts

Well, I need to go to bed! I'll be back tomorrow, assuming people still give a crap about the meaning of the universe. :P

Probably should have done this in the morning.

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jimmyjammer69

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#96 jimmyjammer69
Member since 2008 • 12239 Posts

[QUOTE="bededog"][QUOTE="Theokhoth"]

Goody! Now we can move on to the hard part.

Since we know that the rationality of a given belief is not necessarily rooted in the truth of that belief, we have to figure out whether or not that belief is true. And thus, the system we call logic is born.

Logic breaks off into two general areas: science and philosophy. Each one uses different forms of logic to discern different parts of the truth: science looks for truth of the empirical and philosophy looks for truth of the spiritual (note that when I say "spiritual" I mean nothing empirical, including ethics, religion, ideology, and so on).

So based on this, we have this little tree: Science = logic = rationality; philosophy = logic = rationality.

Now we get into the fun part. Since both science and philosophy address different areas of reality, what do we do when the two conflict with eachother?

(*WARNING, IT'S A TRICK QUESTION*)

Theokhoth

When it comes to that point you have to go with science since it is based upon empirical evidence and is thus objective. Although philosophy is nice, it has no empirical evidence to show it's right or wrong.

Nope!

Science and philosophy both address areas of reality. If reality is objective, then both philosophy and science are objective.

Empirical evidence is nice until you realise that we don't even know if the "empirical" exists. Like the other guy pointed out. We have to assume it's real. . . but we can't do that empirically. That leaves us one option.:D

If they both address areas of reality, then they can't contradict eachother. The empirical and the non-empirical should pretty much agree with eachother.

Now, pay attention to this part because it's going to start looking like I'm advocating Social Darwinism. I am NOT saying that if we come to an empirical conclusion about reality that the philosophical conclusion must line up with it (i.e. if we conclude that a certain genetic race is inferior, we should wipe it out). Nor am I saying that if we conclude something to be morally acceptable, there must be empirical data to coincide with it.

I'm saying that what we conclude, empirical or philosophical, must be reasonable.

Now, would you agree that we are sometimes wrong about conclusions regarding empirical data?

This is exactly what I imagine this distinction between deductive and inductive reasoning is supposed to highlight. I can assume the existence of the flying spaghetti monster and draw the conclusion that, as he is said to be enormous, he could easily squash me - this would be deductive reasoning, which is apparently dominant in much theology. The theory that the flying spaghetti monster exists, however, is not a reasonable inductive conclusion (i.e. from sense data).

I don't know if you could say that a theory about the FSM addresses any area of reality, but then again, maybe deductive logic isn't necessarily about addressing anything real.

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chessmaster1989

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#97 chessmaster1989
Member since 2008 • 30203 Posts

[QUOTE="chessmaster1989"]

[QUOTE="Theokhoth"]

Translate that into English and I'll get back to you. >_>

Theokhoth

Essentially, you want to prove a mathematical statement, designated P(n) (in my example, you want to prove P(n): 3^n > 2^n). To do so, you first prove P(1) is true. Then, assuming that P(k) is true, you prove that P(k+1) is true. Thus, you have proved that P(n) is true for any natural number n.

:P

Either you're being a smartass or my ability to translate logic into mathematics has shut down completely. :P

Okay, to be fair, I am kind of being a smartass. I'm talking about mathematical induction, while you are talking about inductive reasoning :P.

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observer77

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#98 observer77
Member since 2009 • 1647 Posts

well it makes sense to assume that he would assume the same as anyone who lived in similar situations long ago, that the earth/ground/thing he stood on was flat eccept for a few higher areas, hills/mountains/things that were higher than the flat areas.

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SouL-Tak3R

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#99 SouL-Tak3R
Member since 2005 • 4024 Posts

It would be considered a theory... just like when people actually thought that.