Combining Texts

All the ideas for 'Sententia on 'De Caelo'', 'The Emperor's New 'Knows'' and 'Russell'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy aims to know the truth about the way things are [Aquinas]
     Full Idea: The study of philosophy has as its purpose to know not what people have thought, but rather the truth about the way things are.
     From: Thomas Aquinas (Sententia on 'De Caelo' [1268], I.22.228), quoted by Kretzmann/Stump - Aquinas, Thomas 05
     A reaction: I agree with this deeply unfashionable opinion. Of course, modern investigations must be more sensitive to biases built into language, culture and conceptual schemes. But I am one of those sad old folks who still think truths can be stated.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
     Full Idea: In order to deduce the theorems of mathematics from purely logical axioms, Russell had to add three new axioms to those of standards logic, which were: the axiom of infinity, the axiom of choice, and the axiom of reducibility.
     From: A.C. Grayling (Russell [1996], Ch.2)
     A reaction: The third one was adopted to avoid his 'barber' paradox, but many thinkers do not accept it. The interesting question is why anyone would 'accept' or 'reject' an axiom.
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]
     Full Idea: Two propositions might contradict each other despite appearing self-evident when considered separately.
     From: A.C. Grayling (Russell [1996], Ch.2)
     A reaction: Russell's proposal (Idea 5416) is important here, that self-evidence comes in degrees. If self-evidence was all-or-nothing, Grayling's point would be a major problem, but it isn't. Bonjour explores the idea more fully (e.g. Idea 3704)
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
How could 'S knows he has hands' not have a fixed content? [Bach]
     Full Idea: How can it be that a sentence like 'George knows that he has hands', even with time and references fixed, does not have a fixed propositional content?
     From: Kent Bach (The Emperor's New 'Knows' [2005], I)
     A reaction: The appeal is to G.E. Moore's common sense view of immediate knowledge (Idea 6349). The reply is simply that the word 'knows' shifts its meaning, having high standards in sceptical philosophy classes, and low standards on the street.
If contextualism is right, knowledge sentences are baffling out of their context [Bach]
     Full Idea: Contextualism seems to predict that if you encounter a knowledge attribution out of context you won't be in a position to grasp which proposition the sentence expresses.
     From: Kent Bach (The Emperor's New 'Knows' [2005], I)
     A reaction: It is only the word 'knows' which is at issue in the sentence. If someone is said to 'know' about the world of the fairies, we might well be puzzled as to what proposition was being expressed. Is the word 'flat' baffling out of context?
Sceptics aren't changing the meaning of 'know', but claiming knowing is tougher than we think [Bach]
     Full Idea: When a sceptic brings up far-fetched possibilities and argues that we can't rule them out, he is not raising the standard for the word 'know'. He is showing it is tougher than we realise for a belief to qualify as normal knowledge at all.
     From: Kent Bach (The Emperor's New 'Knows' [2005], III)
     A reaction: [Bach cites Richard Feldman for this idea] I think that what happens in the contextual account is that 'true', 'belief' and 'know' retain their standard meaning, and it is 'justified' which shifts. 'I am fully justified' can have VERY different meanings!