Combining Texts

All the ideas for 'Symposium', 'Philosophy' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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24 ideas

2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
3. Truth / A. Truth Problems / 4. Uses of Truth
Truth is what unites, and the profound truths create a community [Jaspers]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
16. Persons / F. Free Will / 2. Sources of Free Will
Freedom needs knowledge, the possibility of arbitrariness, and law [Jaspers]
16. Persons / F. Free Will / 4. For Free Will
I am aware that freedom is possible, and the freedom is not in theory, but in seeking freedom [Jaspers]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
20. Action / C. Motives for Action / 4. Responsibility for Actions
My freedom increases as I broaden my vision of possiblities and motives [Jaspers]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
23. Ethics / F. Existentialism / 1. Existentialism
My helplessness in philosophising reveals my being, and begins its upsurge [Jaspers]
The struggle for Existenz is between people who are equals, and are utterly honest [Jaspers]
Once we grasp freedom 'from' things, then freedom 'for' things becomes urgent [Jaspers]
23. Ethics / F. Existentialism / 6. Authentic Self
Mundane existence is general, falling under universals, but Existens is unique to individuals [Jaspers]
'Existenz' is the potential being, which I could have, and ought to have [Jaspers]
We want the correct grasp on being that is neither solipsism nor absorption in the crowd [Jaspers]
23. Ethics / F. Existentialism / 7. Existential Action
Every decision I make moves towards or away from fulfilled Existenz [Jaspers]