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Use this tag for general questions about logic that are not categorizable under some more specific tag, like "mathematical logic", "informal logic", "classical logic", etc.

4 votes

Is an all-knowing being still able to think?

You are equalizing thinking and getting knowledge which is not correct. The all-knowing (omniscient) being is able to think because: Aside from thinking to get knowledge, one might think just to cre …
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4 votes
2 answers
167 views

Is calling an argument a fallacy, or is the notion of informal fallacy, just a method of man...

Indeed, there are ways of thought which are not consistent with logic. I am not talking about such fallacies here. … For example, appeal to science, appeal to logic, appeal to rationality, etc. …
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3 votes

Information of a sentence

Formally speaking, he is not even wrong. There is a six-sided dice where each side represent a number from 1 to 6. The statement is: "The outcome can be 1 or 2." If he is wrong then outcomes 1 and 2 …
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3 votes
1 answer
246 views

Hume: excavating the is/ ought gap

Why does Hume believe that ought brings a new relation? If means-end reasoning, where we can say that one is ought to do X in order to get Y, does not bring a new relation, then in order to tell that …
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3 votes
1 answer
343 views

Why is faulty generalization called an informal fallacy?

According to wikipedia faulty generalization belongs to the class of informal fallacies. Also, a fallacy is called informal if it originates in a reasoning error other than a flaw in the logical f …
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2 votes
3 answers
162 views

What's wrong with the following argument regarding temporal limits?

Let us suppose there is a limit: you cannot buy something after 10:00PM. From the position of law, of course "cannot" must be taken directly. But from the position of common thinking, people are less …
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1 vote

Formalizing negations

"Someone" means existential quantifier. In case of (a) you can see that someone is under negation and the first formula is "∃x: x is smoking" where second is "¬(∃y: y is smoking)". In (b) second formu …
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1 vote
Accepted

What is wrong in the first premise of open question argument?

It seems I came to the solution: But what is the epistemological reason for our mind? What is it's purpose in this context? The reason is clear: to acknowledge something that is unknown, to understan …
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1 vote

Symbolic Logic - Negation Introduction

From 2 we have ~K. (~K & ~B) > ~K Putting it to 3 we have A. ((~A > K) & K) > A Now let's assume A > B. From 2 we have ~B. Therefore, if A > B then ~A. ((A > B) & ~B) > ~A For simpl …
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1 vote
2 answers
2k views

You disagree with me, therefore you are X. What is the name of this fallacy (manipulative tr...

While this clearly includes ad hominem on fictional (or at least subjective) grounds, I'm asking about the first part of it, which presupposes that I'm too young or lacking logic only because I disagree …
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1 vote
3 answers
229 views

What is wrong in the first premise of open question argument?

Let us use the original argument: Premise 1: If X is good, then the question "Is it true that X is good?" is meaningless. Premise 2: The question "Is it true that X is good?" is not meaningless. Con …
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1 vote
5 answers
887 views

How do I operate with philosophers if I reject deductive reasoning?

Deductive reasoning is the one that takes premises for granted. I never do it. Therefore I never do deductive reasoning. Well, enough jokes. It is safe to assume that deductive reasoning never should …
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1 vote
2 answers
331 views

Does Hume reject the possibility of is-ought syllogisms?

Suppose the following syllogism: It is impossible for anyone to get X without him/her doing Y. It is possible to get X (by doing Y). I want to get X. Therefore I ought to do Y. There is, very like …
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0 votes

Are speeding tickets ethical?

The logic seems to be that if you drive fast, there is a (considerably) higher probability that you will end up in an accident, which could hurt others, hence you need to be punished. … So, the logic is following: There is an undesirable event E. E is under our control. All actions leading to E are made consciously. All actions leading to E are prohibited. …
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0 votes
Accepted

Any solution to prove (∀x)(∃y)(Fx & Gy) ⊢ (∃y)(∀x)(Fx & Gy) with natural deduction?

At first let's look at what cases first formula is true. Since conjunction requires both operands to be true, we know (through simplification): (∀x)(Fx) This means Fx ⇔ 1 Now, since Fx is …
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