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-1 votes
2 answers
79 views

What difference between the truth of a conditional* and its logical validity?

I am confused . . . Here is a remark on the "classical analysis" of the implication: On the classical analysis, logical implication is the same, not as the truth of a conditional statement, ...
Speakpigeon's user avatar
  • 8,363
2 votes
4 answers
249 views

At what point in the history of mathematics, and why, did mathematicians come to say "A implies B" to mean "not A or B"?

Here is what one respondent to my previous question says: A big part of the problem here lies with interpreting the word ‘implies’, which is ambiguous in English. Unfortunately, mathematicians get ...
Speakpigeon's user avatar
  • 8,363
0 votes
1 answer
187 views

Philosophy books for mathematicians

Are there any books on philosophy that make relatively heavy use of math? I'm not looking for anything on formal epistemology, logic, or philosophy of math. Two examples of books that fall in the ...
user236343's user avatar
0 votes
1 answer
124 views

How to define a new logical language

There are a number of logical languages defined that are so called flavors of a certain logic (for example, flavors of First Order Logic). Such new logical languages sometimes extend or restrict the ...
User 19826's user avatar
2 votes
0 answers
64 views

Recommendation: Second Order Logic textbook

I'm looking into Universalist Realism, Nominalism, Trope theory and the application of Second Order logic to each of them, however I have little/no experience with Second Order logic. Please let me ...
BeingOfNothingness's user avatar
0 votes
2 answers
160 views

Can someone help me understand how to symbolize?

There are jackals on the stairs and in the elevator and Tom is scared. If there are jackals on the stairs, then they are not on the elevator and Mary is happy. Either it is the case that, if there ...
Dan's user avatar
  • 1
-1 votes
2 answers
183 views

Why does what I've written fail to define truth?

(Also posted in mathstackexchange prior to this). I stumbled across a set of axioms for first order logic a bit ago. Intrigued, I decided to try to write it all down and organise what I read. After I ...
Nethesis's user avatar
  • 101
4 votes
1 answer
155 views

Is there a formalized logic for adpositional connectives?

Certain words in natural language are more amenable to logical formalization. The conjunction "and" or weak conditional "unless" are easily applied to break statements into their constituent atomic ...
Ryder's user avatar
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