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047

Will There Be a Sea Battle Tomorrow? — Future Contingents and Determinism

Is 'there will be a sea battle tomorrow' already true or false? If so, everything about tomorrow happens of necessity, and deliberation and preparation are pointless. De Interpretatione chapter 9, the most debated chapter in the history of logic. Aristotle's answer: the whole disjunction is necessary; neither disjunct is yet determined.

046

Affirmation and Negation, Universal and Particular — the Origin of the 'Square of Opposition'

'Every man is white' and 'no man is white' cannot both be true, but can both be false. 'Every man is white' and 'some man is not white' must have exactly one true and one false. The relations Aristotle set out in chapter 7 became the medieval 'square of opposition' — and in modern logic part of it collapses.

045

Truth Lives Only in the 'Assertion' — a Prayer Is Outside Logic

'It is raining' comes out true or false. 'May it rain' is neither. Aristotle takes only the sentences that carry truth — assertions (apophantikos) — as the business of logic, and sends prayers, commands and questions off to rhetoric and poetics. The unit called 'the proposition' is born here.

044

Noun and Verb — the Verb 'Co-Signifies' Time

'Health' is a noun; 'is healthy' is a verb. What is the difference? For Aristotle, a verb signifies, and on top of that co-signifies 'being now' — time — and is always a sign of something 'said of another.' The two parts that build a sentence, and the puzzle of the 'is' that joins them, read from the Greek.

043

'By Convention' — Aristotle's Answer to Cratylus

Into the definition of the noun Aristotle slips one phrase — 'by convention.' No name exists by nature. The cries of animals express something naturally, but they are not names. To the pair of options Plato held open, his student rules for nomos — and it becomes the mainstream for two thousand years.

042

Reading Aristotle's De Interpretatione — Words Are 'Symbols by Convention,' and Truth Lives Only in the Sentence

To the question Plato left open — is a name natural or conventional? — his student Aristotle gives a short answer: words are symbols by convention. And truth and falsity live not in words but in the 'assertion,' where words are combined. Book II of the Organon, a dense essay in fourteen chapters, read from the Greek.

041

No Truth Is Learned from Names — the End of the Cratylus and the Theory of Forms

Having conceded that imitation in sound is not enough to make a name, Socrates brings convention back into the argument. Then he strikes at the heart of the nature view: the first name-giver had no names to work from. So knowledge sits prior to names. The dialogue closes by stepping toward an unchanging 'beautiful itself.'

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