Combining Texts

All the ideas for 'fragments/reports', 'Vagueness' and '17: Epistle to Titus'

unexpand these ideas     |    start again     |     specify just one area for these texts


6 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson]
     Full Idea: Russell says the best chance of avoiding vagueness are the logical connectives. ...But the vagueness of 'true' and 'false' infects the logical connectives too. All words are vague. Russell concludes that all language is vague.
     From: report of Bertrand Russell (Vagueness [1923]) by Timothy Williamson - Vagueness 2.4
     A reaction: This relies on the logical connectives being defined semantically, in terms of T and F, but that is standard. Presumably the formal uninterpreted syntax is not vague.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
One of their own prophets said that Cretans are always liars [Anon (Titus)]
     Full Idea: One of themselves, even a prophet of their own, said, the Cretians are always liars, evil beasts, slow bellies. This witness is true.
     From: Anon (Titus) (17: Epistle to Titus [c.115], I.12)
     A reaction: The classic statement of the paradox, the word 'always' being the source of the problem.
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith]
     Full Idea: Russell takes it that logic assumes precision, and since natural language is not precise it cannot be in the province of logic at all.
     From: report of Bertrand Russell (Vagueness [1923]) by R Keefe / P Smith - Intro: Theories of Vagueness §1
     A reaction: I find this view congenial. It seems to me that the necessary prelude to logic is to do everything you can to eliminate ambiguity and vagueness from the sentences at issue. We want the proposition, or logical form. If there isn't one, forget it?
Vagueness is only a characteristic of representations, such as language [Russell]
     Full Idea: Vagueness and precision alike are characteristics which can only belong to a representation, of which language is an example.
     From: Bertrand Russell (Vagueness [1923], p.62)
     A reaction: Russell was the first to tackle the question of vagueness, and he may have got it right. If we are unable to decide which set an object belongs in (red or orange) that is a problem for our conceptual/linguistic scheme. The object still has a colour!
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.