Combining Texts

All the ideas for 'teachings', 'talk' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
The unexamined life is not worth living for men [Socrates]
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]
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]
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]
22. Metaethics / B. Value / 2. Values / e. Death
If death is like a night of dreamless sleep, such nights are very pleasant [Socrates]
Men fear death as a great evil when it may be a great blessing [Socrates]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
We should not even harm someone who harms us [Socrates]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
A good man cannot be harmed, either in life or in death [Socrates]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
One ought not to return a wrong or injury to any person, whatever the provocation [Socrates]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Wealth is good if it is accompanied by virtue [Socrates]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
Will I stand up against the law, simply because I have been unjustly judged? [Socrates]
28. God / C. Attitudes to God / 5. Atheism
Socrates is accused of denying the gods, saying sun is stone and moon is earth [Socrates, by Plato]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Nagarjuna and others pronounced the world of experience to be an illusion [Nagarjuna, by Armstrong,K]