Combining Texts

All the ideas for 'Idealism: a critical survey', 'Introduction to the Philosophy of Religion' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

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24 ideas

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 / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]
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]
28. God / A. Divine Nature / 5. God and Time
God is 'eternal' either by being non-temporal, or by enduring forever [Davies,B]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Can God be good, if he has not maximised goodness? [Davies,B]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
The goodness of God may be a higher form than the goodness of moral agents [Davies,B]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
How could God have obligations? What law could possibly impose them? [Davies,B]
28. God / B. Proving God / 1. Proof of God
'Natural theology' aims to prove God to anyone (not just believers) by reason or argument [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
A distinct cause of the universe can't be material (which would be part of the universe) [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The universe exhibits design either in its sense of purpose, or in its regularity [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
If God is an orderly being, he cannot be the explanation of order [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
Maybe an abnormal state of mind is needed to experience God? [Davies,B]
A believer can experience the world as infused with God [Davies,B]
The experiences of God are inconsistent, not universal, and untestable [Davies,B]
29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning
One does not need a full understanding of God in order to speak of God [Davies,B]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
Paradise would not contain some virtues, such as courage [Davies,B]