Combining Texts

All the ideas for 'On Interpretation', 'The Absurd' and 'Ordinatio'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
If your life is to be meaningful as part of some large thing, the large thing must be meaningful [Nagel]
     Full Idea: Those seeking to give their lives meaning usually envision a role in something larger than themselves, …but such a role can't confer significance unless that enterprise is itself significant.
     From: Thomas Nagel (The Absurd [1971], §3)
     A reaction: Which correctly implies that this way of finding meaning for one's life is doomed.
2. Reason / B. Laws of Thought / 4. Contraries
In "Callias is just/not just/unjust", which of these are contraries? [Aristotle]
     Full Idea: Take, for example, "Callias is just", "Callias is not just", and "Callias is unjust"; which of these are contraries?
     From: Aristotle (On Interpretation [c.330 BCE], 23a31)
3. Truth / B. Truthmakers / 10. Making Future Truths
It is necessary that either a sea-fight occurs tomorrow or it doesn't, though neither option is in itself necessary [Aristotle]
     Full Idea: It is not necessary for a sea-battle to take place tomorrow, nor for one not to take place tomorrow - though it is necessary for one to take place OR not take place tomorrow.
     From: Aristotle (On Interpretation [c.330 BCE], 19a30)
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Statements are true according to how things actually are [Aristotle]
     Full Idea: Statements are true according to how things actually are.
     From: Aristotle (On Interpretation [c.330 BCE], 19a33)
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotle's later logic had to treat 'Socrates' as 'everything that is Socrates' [Potter on Aristotle]
     Full Idea: When Aristotle moved from basic name+verb (in 'De Interpretatione') to noun+noun logic...names had to be treated as special cases, so that 'Socrates' is treated as short for 'everything that is Socrates'.
     From: comment on Aristotle (On Interpretation [c.330 BCE]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 02 'Supp'
     A reaction: Just the sort of rewriting that Russell introduced for definite descriptions. 'Twas ever the logicians' fate to shoehorn ordinary speech into awkward containers.
Square of Opposition: not both true, or not both false; one-way implication; opposite truth-values [Aristotle]
     Full Idea: Square of Opposition: horizontals - 'contraries' can't both be true, and 'subcontraries' can't both be false; verticals - 'subalternatives' have downwards-only implication; diagonals - 'contradictories' have opposite truth values.
     From: Aristotle (On Interpretation [c.330 BCE], Ch.12-13)
     A reaction: This is still used in modern discussion (e.g. by Stalnaker against Kripke), and there is a modal version of it (Fitting and Mendelsohn p.7). Corners read: 'All F are G', 'No F are G', 'Some F are G' and 'Some F are not G'.
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]
     Full Idea: Modal Square of Opposition 1: 'It is necessary that P' and 'It is not possible that not P' are the contraries (not both true) of 'It is necessary that not P' and 'It is not possible that P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12a) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 2: ¬□¬P and ◊P are 'subcontraries' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 2: 'It is not necessary that not P' and 'It is possible that P' are the subcontraries (not both false) of 'It is not necessary that P' and 'It is possible that not P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12b) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 3: □P and ¬◊¬P are 'contradictories' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 3: 'It is necessary that P' and 'It is not possible that not P' are the contradictories (different truth values) of 'It is not necessary that P' and 'It is possible that not P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12c) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 4: □¬P and ¬◊P are 'contradictories' of ¬□¬P and ◊P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 4: 'It is necessary that not P' and 'It is not possible that P' are the contradictories (different truth values) of 'It is not necessary that not P' and 'It is possible that P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12d) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 5: □P and ¬◊¬P are 'subalternatives' of ¬□¬P and ◊P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 5: 'It is necessary that P' and 'It is not possible that not P' are the subalternatives (first implies second) of 'It is not necessary that not P' and 'It is possible that P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12e) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
Modal Square 6: □¬P and ¬◊P are 'subalternatives' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
     Full Idea: Modal Square of Opposition 6: 'It is necessary that not P' and 'It is not possible that P' are the subalternatives (first implies second) of 'It is not necessary that P' and 'It is possible that not P'.
     From: report of Aristotle (On Interpretation [c.330 BCE], Ch.12f) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
In talking of future sea-fights, Aristotle rejects bivalence [Aristotle, by Williamson]
     Full Idea: Unlike Aristotle, Stoics did not reject Bivalence for future contingencies; it is true or false that there will be a sea-fight tomorrow.
     From: report of Aristotle (On Interpretation [c.330 BCE], 19a31) by Timothy Williamson - Vagueness 1.2
     A reaction: I'd never quite registered this simple account of the sea-fight. As Williamson emphasises, one should not lightly reject the principle of bivalence. Has Aristotle entered a slippery slope? Stoics disagreed with Aristotle.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
A prayer is a sentence which is neither true nor false [Aristotle]
     Full Idea: A prayer is a sentence which is neither true nor false.
     From: Aristotle (On Interpretation [c.330 BCE], 17a01)
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
Non-existent things aren't made to exist by thought, because their non-existence is part of the thought [Aristotle]
     Full Idea: It is not true to say that what is not, since it is thought about, is something that is; for what is thought about it is not that it is, but that it is not.
     From: Aristotle (On Interpretation [c.330 BCE], 21a31)
     A reaction: At least there has been one philosopher who was quite clear about the distinction between a thought and what the thought is about (its content). Often forgotten!
7. Existence / A. Nature of Existence / 5. Reason for Existence
Maybe necessity and non-necessity are the first principles of ontology [Aristotle]
     Full Idea: Perhaps the necessary and non-necessary are first principles of everything's either being or not being.
     From: Aristotle (On Interpretation [c.330 BCE], 23a18)
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
A universal is not a real feature of objects, but only a thought-object in the mind [William of Ockham]
     Full Idea: I maintain that a universal is not something real that exists in a subject [of inherence], either inside or outside the mind, but that it has being only as a thought-object in the mind.
     From: William of Ockham (Ordinatio [1320], DII Qviii prima redactio)
     A reaction: [A footnote says that William later abandoned this view] I don't see a clear distinction here between having real existence in the mind, and being a thought-object in the mind. Maybe we should say 'merely' a thought-object?
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Justifications come to an end when we want them to [Nagel]
     Full Idea: Justifications come to an end when we are content to have them end.
     From: Thomas Nagel (The Absurd [1971], §3)
     A reaction: This is the correct account, with the vital proviso that where justification comes to an end is usually a social matter. Robinson Crusoe doesn't care whether he 'knows' - he just acts on his beliefs.
18. Thought / E. Abstraction / 2. Abstracta by Selection
A universal is the result of abstraction, which is only a kind of mental picturing [William of Ockham]
     Full Idea: A universal is not the result of generation, but of abstraction, which is only a kind of mental picturing.
     From: William of Ockham (Ordinatio [1320], DII Qviii prima redactio)
     A reaction: The phrase 'mental picturing' works very plausibly for the universal 'giraffe', but not so well for 'multiplication' or 'contradiction'. Though we might broaden 'picturing' to being a much less visual concept. Mapping seems basic.
19. Language / A. Nature of Meaning / 2. Meaning as Mental
For Aristotle meaning and reference are linked to concepts [Aristotle, by Putnam]
     Full Idea: In 'De Interpretatione' Aristotle laid out an enduring theory of reference and meaning, in which we understand a word or any other sign by associating that word with a concept. This concept determines what the word refers to.
     From: report of Aristotle (On Interpretation [c.330 BCE]) by Hilary Putnam - Representation and Reality 2 p.19
     A reaction: Sounds right to me, despite all this Wittgensteinian stuff about beetles in boxes. When you meet a new technical term in philosophy, you must struggle to fully grasp the concept it proposes.
19. Language / D. Propositions / 4. Mental Propositions
Spoken sounds vary between people, but are signs of affections of soul, which are the same for all [Aristotle]
     Full Idea: Spoken sounds are symbols of affections in the soul, ...and just as written marks are not the same for all men, neither are spoken sounds. But what these are in the first place signs of - affections of the soul - are the same for all.
     From: Aristotle (On Interpretation [c.330 BCE], 16a03-08)
     A reaction: Loux identifies this passage as the source of the 'conceptualist' view of propositions, which I immediately identify with. The view that these propositions are 'the same for all' is plausible for normal objects, but dubious for complex abstractions.
19. Language / F. Communication / 3. Denial
It doesn't have to be the case that in opposed views one is true and the other false [Aristotle]
     Full Idea: It is not necessary that of every affirmation and opposite negation one should be true and the other false. For what holds for things that are does not hold for things that are not but may possibly be or not be.
     From: Aristotle (On Interpretation [c.330 BCE], 19a39)
     A reaction: Thus even if Bivalence holds, and the only truth-values are T and F, it doesn't follow that Excluded Middle holds, which says that every proposition must have one of those two values.
23. Ethics / F. Existentialism / 2. Nihilism
If a small brief life is absurd, then so is a long and large one [Nagel]
     Full Idea: If life is absurd because it only lasts seventy years, wouldn't it be infinitely absurd if it lasted for eternity? And if we are absurd because we are small, would we be any less absurd if we filled the universe?
     From: Thomas Nagel (The Absurd [1971], §1)
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
Things may be necessary once they occur, but not be unconditionally necessary [Aristotle]
     Full Idea: To say that everything that is, is of necessity, when it is, is not the same as saying unconditionally that it is of necessity.
     From: Aristotle (On Interpretation [c.330 BCE], 19a25)