Combining Texts

All the ideas for 'The Journals of Kierkegaard', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'The Folly of Trying to Define Truth'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Fixed ideas should be tackled aggressively [Kierkegaard]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Philosophy can't be unbiased if it ignores language, as that is no more independent than individuals are [Kierkegaard]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth cannot be reduced to anything simpler [Davidson]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Neither Aristotle nor Tarski introduce the facts needed for a correspondence theory [Davidson]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
The language to define truth needs a finite vocabulary, to make the definition finite [Davidson]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
We can elucidate indefinable truth, but showing its relation to other concepts [Davidson]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
It is common to doubt truth when discussing it, but totally accept it when discussing knowledge [Davidson]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
22. Metaethics / B. Value / 2. Values / g. Love
If people marry just because they are lonely, that is self-love, not love [Kierkegaard]
23. Ethics / F. Existentialism / 4. Boredom
Our destiny is the highest pitch of world-weariness [Kierkegaard]
23. Ethics / F. Existentialism / 7. Existential Action
Life may be understood backwards, but it has to be lived forwards [Kierkegaard]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The best way to be a Christian is without 'Christianity' [Kierkegaard]
We need to see that Christianity cannot be understood [Kierkegaard]