Combining Texts

All the ideas for 'fragments/reports', 'Prior Analytics' and 'Conditionals'

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27 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotle was the first to use schematic letters in logic [Aristotle, by Potter]
Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Aristotle, by Hanna]
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 replaced 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 / D. Modal Logic ML / 4. Alethic Modal Logic
There are three different deductions for actual terms, necessary terms and possible terms [Aristotle]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Deduction is when we suppose one thing, and another necessarily follows [Aristotle]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
'¬', '&', and 'v' are truth functions: the truth of the compound is fixed by the truth of the components [Jackson]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]
5. Theory of Logic / G. Quantification / 1. Quantification
Affirming/denying sentences are universal, particular, or indeterminate [Aristotle]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
10. Modality / A. Necessity / 4. De re / De dicto modality
A deduction is necessary if the major (but not the minor) premise is also necessary [Aristotle]
10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
Possible worlds for subjunctives (and dispositions), and no-truth for indicatives? [Jackson]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Modus ponens requires that A→B is F when A is T and B is F [Jackson]
When A and B have the same truth value, A→B is true, because A→A is a logical truth [Jackson]
(A&B)→A is a logical truth, even if antecedent false and consequent true, so it is T if A is F and B is T [Jackson]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
In the possible worlds account of conditionals, modus ponens and modus tollens are validated [Jackson]
Only assertions have truth-values, and conditionals are not proper assertions [Jackson]
Possible worlds account, unlike A⊃B, says nothing about when A is false [Jackson]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
We can't insist that A is relevant to B, as conditionals can express lack of relevance [Jackson]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Aristotle, by Engelbretsen]
19. Language / F. Communication / 1. Rhetoric
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]