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Questions tagged [history-of-logic]

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0answers
34 views

What is a good history of logic book that covers all logic?

Including inductive, formal and mathematical. I find them separated a lot and I don't know if I have the ability to sit through all the Handbook of the History of Logic series.
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2answers
142 views

What did the Greeks call the “trial and error” reasoning process?

What did the Greeks call the "trial and error" reasoning process? Bruce Aune's review of Wilson's Peirce's Empiricism: Its Roots and Its Originality claims "The name 'empirici' is in fact traceable ...
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1answer
178 views

What is the difference between type–token, genus–species and universal–particular?

Over the course of it's history, western philosophy introduced all these distinctions between an object and it's class. But I'm a bit confused by this, because these all look very much alike. So what ...
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2answers
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Why do both “and” and “or” exist? [duplicate]

In logic, why do both "and" and "or" exist? "and" is just a change in the argument of "or", and vice versa. a ∨ b = ¬(¬a ∧ ¬b) a ∧ b = ¬(¬a ∨ ¬b) So why do we have both of them? Do they both ...
12
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1answer
1k views

What is the axiom of reducibility? And what philosophical controversies did it incite?

Trying to come to terms with basics concerning philosophy of logic, and wish to ask about some particular issue: What is in simple words the axiom of reducibility put forward by Russell? And what is ...
7
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1answer
332 views

What is the historical context and what are the philosophical implications of model theory?

I tried to place Abraham's Robinson non-standard analysis in the thread of history and philosophy of logic, but got confused. I think I miss some background knowledge concerning perhaps the ...