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Aristotelian Syllogisms: Validity by reduction via reductio ad impossibile?

I'm trying to learn Aristotle's Organon but am finding Chapter 7 (volume I) of Prior Analytics difficult to comprehend, i.e., providing validity indirect (reductio ad impossibile) reduction. Indirect ...
user2926242's user avatar
2 votes
1 answer
114 views

How do complex propositions and Aristotle's logic work?

Is it allowed to create a syllogism with complex propositions? Here is my example where P is a sequence of actions and M is a final cause. S = "Cake maker" P = "Finding of ingredients, ...
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Is this Barbara syllogism of a final cause right?

Hi i'm trying to learn how to make an explanation of a final cause in the form of a Barbara syllogism but I don't know if I have the terms in the right order. The Barbara definition I'm using is from ...
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3 votes
1 answer
78 views

Which author(s) first talked of Aristotle's syllogistic as a logic of terms?

Which author(s) first talked of Aristotle's syllogistic as a logic of terms? Thank you for any scholarly references. Aristotle does defines the notion of "term" in Prior Analytics: I call a ...
Speakpigeon's user avatar
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3 votes
1 answer
204 views

Converting a Euclidian proposition to a syllogism format

I am attempting to analyze Euclid's proof demonstrating that the interior angles of a triangle are equal to two right angles (book 1, prop 32). In particular, I'm looking for a way to convert the ...
user73163's user avatar
0 votes
2 answers
190 views

How did Aristotle discover his logic?

Supposedly Euclid employed analysis (conclusions→principles) and not synthesis (principles→conclusions) when he devised his definitions/postulates/axioms in his Elements. How did Aristotle discover ...
Geremia's user avatar
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1 answer
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Chapter 22 in Organon, negative apodeictic term and problematic premise

Paragraph 4 in Chapter 22 in Prior Analytics of Aristotle: For let us assume that A necessarily does not apply to C, and that B may apply to all C. Then by conversion of the affirmative premiss BC ...
S11n's user avatar
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3 votes
1 answer
122 views

Possible vs may (or impossible vs cannot) in Aristotle's Prior Analytics

In chapter 13 of the Prior Analytics, it is written that "it is evident if it is possible for A to apply to B, it is also possible for it not to apply". Which naively speaking makes sense, ...
S11n's user avatar
  • 135
0 votes
2 answers
316 views

How is the syllogism in my question called?

We all know the most famous syllogism introduced by Aristotle: All men (people) are mortal. Socrates is a man. Therefore Socrates is mortal. But what if we say: All mortals are men (people). Alice ...
Deschele Schilder's user avatar
9 votes
5 answers
4k views

Why bother with anything else besides Aristotle's syllogistic logic?

Disclaimer: this a "devil's advocate's question", meaning I know a lot of the answer, but for the sake of playing the Q&A game, I won't self-answer right away. The main reason I'm ...
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2 votes
3 answers
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What are the differences between an argument and a syllogism?

What are the differences between an argument and a syllogism? Along with definitions and usages, I would like examples to understand the differences.
Sazzad Hissain Khan's user avatar
3 votes
1 answer
111 views

Could the link between virtues and pleasures and pains in the third chapter of Nicomachean Ethics' book II be considered a hypothetical syllogism?

In the chapter 3 of Nicomachean Ethics' book II, Aristotle says: Again, if the virtues are concerned with actions and passions, and every passion and every action is accompanied by pleasure and ...
JorgeAmVF's user avatar
  • 209
2 votes
2 answers
175 views

"Syllogisms which produce understanding"

I remember reading somewhere that the aim of Aristotle's Prior and Posterior analytics was to show which kinds of syllogisms produce understanding. I do not remember where I read this but I think it ...
user27928's user avatar
  • 197
6 votes
4 answers
608 views

Is reduction to the absurdum to be considered a syllogism?

I was reading this article called Aristotle on the fourth figure. Thea author while exposing Aristotle theory of syllogism, identify 3 kinds of syllogisms which believes Aristotle to discuss: ...
Gabriele Scarlatti's user avatar
4 votes
4 answers
946 views

Is syllogism an inference rule?

I was reading Anthony Andres' article, "ARISTOTLE AND THE CONVENTIONAL LOGICIANS ON THE FOURTH FIGURE". The author explains why according to him the introduction of the fourth figure by his ...
Gabriele Scarlatti's user avatar
4 votes
2 answers
407 views

What is a predicate according to Aristotle's Organon?

There is of course predicate as in predicate logic; but I'm asking about the notion in Aristotle's Organon. Consider the proposition: Socrates is a man. Man is a universal, Socrates is a ...
Mozibur Ullah's user avatar