Combining Philosophers

Ideas for Aristotle, Owen Flanagan and J.G. Hamann

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21 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Aristotle, by Hanna]
Aristotle's later logic had to treat 'Socrates' as 'everything that is Socrates' [Potter on Aristotle]
Square of Opposition: not both true, or not both false; one-way implication; opposite truth-values [Aristotle]
Aristotle was the first to use schematic letters in logic [Aristotle, by Potter]
Aristotelian sentences are made up by one of four 'formative' connectors [Aristotle, by Engelbretsen]
Aristotelian identified 256 possible syllogisms, saying that 19 are valid [Aristotle, by Devlin]
Aristotle replace Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Aristotle, by Engelbretsen/Sayward]
Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Aristotle, by Devlin]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs [Bostock on Aristotle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
An axiom is a principle which must be understood if one is to learn anything [Aristotle]
The axioms of mathematics are part of philosophy [Aristotle]
Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Modal Square 1: □P and ◊P are 'contraries' of □P and ◊P [Aristotle, by Fitting/Mendelsohn]
Modal Square 2: □P and ◊P are 'subcontraries' of □P and ◊P [Aristotle, by Fitting/Mendelsohn]
Modal Square 3: □P and ◊P are 'contradictories' of □P and ◊P [Aristotle, by Fitting/Mendelsohn]
Modal Square 4: □P and ◊P are 'contradictories' of □P and ◊P [Aristotle, by Fitting/Mendelsohn]
Modal Square 5: □P and ◊P are 'subalternatives' of □P and ◊P [Aristotle, by Fitting/Mendelsohn]
Modal Square 6: □P and ◊P are 'subalternatives' of □P and ◊P [Aristotle, by Fitting/Mendelsohn]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
There are three different deductions for actual terms, necessary terms and possible terms [Aristotle]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Are a part and whole one or many? Either way, what is the cause? [Aristotle]
Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]