Combining Texts

All the ideas for 'Function and Concept', 'Completeness of Axioms of Logic' and 'Metaphysics of Morals I: Doctrine of Right'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Because there is only one human reason, there can only be one true philosophy from principles [Kant]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Frege thought traditional categories had psychological and linguistic impurities [Frege, by Rumfitt]
4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC
Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
Relations are functions with two arguments [Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic is a development of logic, so arithmetical symbolism must expand into logical symbolism [Frege]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Frege takes the existence of horses to be part of their concept [Frege, by Sommers]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Frege allows either too few properties (as extensions) or too many (as predicates) [Mellor/Oliver on Frege]
9. Objects / A. Existence of Objects / 3. Objects in Thought
The concept 'object' is too simple for analysis; unlike a function, it is an expression with no empty place [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
We are equipped with the a priori intuitions needed for the concept of right [Kant]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
Concepts are the ontological counterparts of predicative expressions [Frege, by George/Velleman]
An assertion about the concept 'horse' must indirectly speak of an object [Frege, by Hale]
A concept is a function whose value is always a truth-value [Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Unlike objects, concepts are inherently incomplete [Frege, by George/Velleman]
19. Language / B. Reference / 5. Speaker's Reference
I may regard a thought about Phosphorus as true, and the same thought about Hesperus as false [Frege]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
A power-based state of nature may not be unjust, but there is no justice without competent judges [Kant]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Monarchs have the highest power; autocrats have complete power [Kant]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
Hereditary nobility has not been earned, and probably won't be earned [Kant]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Actions are right if the maxim respects universal mutual freedoms [Kant]
24. Political Theory / D. Ideologies / 12. Feminism
Women have no role in politics [Kant]
25. Social Practice / B. Equalities / 3. Legal equality
Equality is not being bound in ways you cannot bind others [Kant]
25. Social Practice / C. Rights / 3. Alienating rights
In the contract people lose their rights, but immediately regain them, in the new commonwealth [Kant]
25. Social Practice / C. Rights / 4. Property rights
If someone has largely made something, then they own it [Kant]
25. Social Practice / D. Justice / 1. Basis of justice
Human life is pointless without justice [Kant]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Justice asserts the death penalty for murder, from a priori laws [Kant]
25. Social Practice / E. Policies / 2. Religion in Society
The church has a political role, by offering a supreme power over people [Kant]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The Ontological Argument fallaciously treats existence as a first-level concept [Frege]