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16 questions
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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 ...
2
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1
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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
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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 ...
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1
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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 ...
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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 ...
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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 ...
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3
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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, ...
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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 ...
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3
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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.
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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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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 ...
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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
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2
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"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 ...
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4
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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 ...
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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:
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