Combining Texts

All the ideas for 'works', 'Grundgesetze der Arithmetik 1 (Basic Laws)' and 'The Reasons of Love'

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27 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]
10. Modality / A. Necessity / 9. Normative Necessity
Love creates a necessity concerning what to care about [Frankfurt]
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 / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Ranking order of desires reveals nothing, because none of them may be considered important [Frankfurt]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Morality isn't based on reason; moral indignation is quite unlike disapproval of irrationality [Frankfurt]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
It is by caring about things that we infuse the world with importance [Frankfurt]
If you don't care about at least one thing, you can't find reasons to care about anything [Frankfurt]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
What is worthwhile for its own sake alone may be worth very little [Frankfurt]
Our criteria for evaluating how to live offer an answer to the problem [Frankfurt]
22. Metaethics / B. Value / 2. Values / g. Love
Rather than loving things because we value them, I think we value things because we love them [Frankfurt]
Love can be cool, and it may not involve liking its object [Frankfurt]
The paradigm case of pure love is not romantic, but that between parents and infants [Frankfurt]
I value my children for their sake, but I also value my love for them for its own sake [Frankfurt]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
We might not choose a very moral life, if the character or constitution was deficient [Frankfurt]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
People want to fulfill their desires, but also for their desires to be sustained [Frankfurt]
23. Ethics / A. Egoism / 1. Ethical Egoism
Loving oneself is not a failing, but is essential to a successful life [Frankfurt]
23. Ethics / F. Existentialism / 4. Boredom
Boredom is serious, not just uncomfortable; it threatens our psychic survival [Frankfurt]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Freedom needs autonomy (rather than causal independence) - embracing our own desires and choices [Frankfurt]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]