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All the ideas for 'Chomsky on himself', 'The German Ideology' and 'Logic in Mathematics'

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45 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is no more than abstractions concerning observations of human historical development [Marx/Engels]
2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
7. Existence / D. Theories of Reality / 6. Physicalism
Philosophical problems are resolved into empirical facts [Marx/Engels]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
'Society determines consciousness' is contradictory; society only exists in minds [Weil on Marx/Engels]
Life is not determined by consciousness, but consciousness by life [Marx/Engels]
18. Thought / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Language co-exists with consciousness, and makes it social [Marx/Engels]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The nature of an individual coincides with what they produce and how they produce it [Marx/Engels]
Consciousness is a social product [Marx/Engels]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
When aristocracy or the bourgeoisie dominate, certain values dominate with them [Marx/Engels]
23. Ethics / F. Existentialism / 6. Authentic Self
Young Hegelians proposed changing our present consciousness for liberating critical consciousness [Marx/Engels]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Producing their own subsistence distinguishes men from animals [Marx/Engels]
Men distinguish themselves from animals when they begin to produce their means of subsistence [Marx/Engels]
Individuals are mutually hostile unless they group together in competition with other groups [Marx/Engels]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Only in community are people able to cultivate their gifts, and therefore be free [Marx/Engels]
24. Political Theory / D. Ideologies / 9. Communism
Young Hegelians think consciousness is chains for men, where old Hegelians think it the bond of society [Marx/Engels]
In communist society we are not trapped in one activity, but can act freely [Marx/Engels]
If the common interest imposes on the individual, his actions become alienated and enslaving [Marx/Engels]
The class controlling material production also controls mental production [Marx/Engels]
The revolutionary class is opposed to 'class', and represents all of society [Marx/Engels]
To assert themselves as individuals, the proletarians must overthrow the State [Marx/Engels]
25. Social Practice / A. Freedoms / 1. Slavery
Slavery cannot be abolished without the steam-engine [Marx/Engels]
25. Social Practice / A. Freedoms / 4. Free market
Communism abolishes private property and dissolves the powerful world market [Marx/Engels]
25. Social Practice / C. Rights / 4. Property rights
The law says private property is the result of the general will [Marx/Engels]
25. Social Practice / E. Policies / 5. Education / d. Study of history
Human history must always be studied in relation to industry and exchange [Marx/Engels]
Most historians are trapped in the illusions of their own epoch [Marx/Engels]