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3 votes
1 answer
108 views

Good reasoning vs necessary truth-preservation vs validity

On pages 19-20 of Logic: The Laws of Truth, Smith argues that "good reasoning" cannot be equated with the properties of necessary truth-preservation (NTP) or validity on the following ...
user51462's user avatar
  • 493
1 vote
1 answer
167 views

What is the difference between a tautological corresponding conditional and (P v ~P)?

The Wikipedia article on the corresponding conditional contains the following sentence: An argument is valid if and only if its corresponding conditional is a logical truth. Some sources use "...
user51462's user avatar
  • 493
2 votes
2 answers
128 views

Is it possible to define argument validity as a formula?

Let A, B and C be propositions. Define ARG(A, B, C) as the following argument: A. B. Therefore, C. My goal is to create a formula whose truth value is equivalent to "ARG(A, B, C) is ...
Pedro A's user avatar
  • 206
2 votes
2 answers
456 views

Why is Truth the default designated value in logic and language?

It seems that investigations of language and logic have focused on truth as the assumed designated value (the value preserved by valid entailments). It is only in later, non-classical logic that non-...
BeingOfNothingness's user avatar
-1 votes
4 answers
188 views

Is university research a guarantee for accuracy of theory?

Is university research a guarantee for accuracy of theory? I think and speculate that no and on the contrary the "status" of academic degrees and university relationships are used to "validate" even ...
mavavilj's user avatar
  • 3,154
0 votes
0 answers
154 views

What are the Limitations and Vulnerabilities of Objectivity Biases?

How reliable is a "Logic / Objectivity" Bias when it comes to reasoning? Or, What are the potential limitations or vulnerabilities of relying solely on these bases of reasoning? Note 1: &...
elika kohen's user avatar
0 votes
1 answer
739 views

Is it valid to prove the axioms of a system from themselves? How does it square with Gödel's incompleteness?

I recently asked whether the axioms are tautologies, and got comments that seemed to me highly suspicious. Namely, that you can always prove an axiom from itself, that you can trivially say A ...
Tatarize's user avatar
  • 181
1 vote
3 answers
1k views

If all the premises of an argument are true, is the argument logically valid?

Where an argument is said to be logically valid "if and only if it is not possible for the premises to e true and the conclusion false". I know that the argument is indeed logically valid if all the ...
Cassidy Parong's user avatar