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1 answer
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I need help understanding Sound reasoning! Deductive validity and truth

No arguments with false premises and a true conclusion are valid for If an argument is valid and the premises are true, then it's a sound argument. no arguments with mood and figure IAI-4 are ...
Rachel Ramsay's user avatar
2 votes
5 answers
722 views

How can syllogisms with contradictory premises be valid?

A syllogism is valid if it is impossible for the premises to be true and at the same time the conclusion to be false. Consider the following syllogism: P1: This apple is red. P2: This apple is not red....
John Smith's user avatar
1 vote
1 answer
212 views

Question of Validity in syllogisms of deductive argument

I read the following excerpt from my A-Level Philosophy book: "Two key terms that you need to understand in relation to deductions and other forms of argument are ‘validity’ and ‘soundness’. ...
User1265's user avatar
0 votes
1 answer
191 views

How can we prove this argument is invalid?

Let's say below is the argument, Premise 1: All men are mortal Premise 2: Socrates is a man ------------------------------------------ Conclusion: Therefore, Socrates can think Now, to prove an ...
Sazzad Hissain Khan's user avatar
2 votes
3 answers
161 views

Why is there an O type conclusion in modus celaront

Modus celaront is type logical syllogism. No reptiles have fur. (MeP) All snakes are reptiles. (SaM) ∴ Some snakes have no fur. (SoP) The conclusion is of a O type(Some .. are not ...). Why is ...
Borut Flis's user avatar
6 votes
5 answers
378 views

What is the nature of "validity" in deduction when dealing with conclusions unrelated to premises?

I studying graduate math (not very far into it), and I realized that some of the higher-level math texts I would like to read are hard to understand without a strong basis in logic. Now I've taken ...
Zduff's user avatar
  • 171
4 votes
4 answers
646 views

Reverse Conclusion of Hypothetical Syllogism

I am presented with an argument of form: If p, then q. If q, then r. Therefore, if r, then p. Does this structure have a specific title? I know that it is invalid, and am assuming that "reverse ...
Ben's user avatar
  • 165
5 votes
3 answers
2k views

Are "All A is B" and "If A then B" always logically equivalent?

Will "All A is B" always imply "If A then B?" If so, can we say that the following follows the form of Modus Ponens? All dogs are mammals. Toby is a dog. So, Toby is a mammal. Can I rewrite ...
aki-02's user avatar
  • 53