Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Subject with No Object' and 'The German Ideology'

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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]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Number words became nouns around the time of Plato [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
7. Existence / D. Theories of Reality / 6. Physicalism
Philosophical problems are resolved into empirical facts [Marx/Engels]
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 / E. Abstraction / 2. Abstracta by Selection
The old debate classified representations as abstract, not entities [Burgess/Rosen]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Language co-exists with consciousness, and makes it social [Marx/Engels]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Consciousness is a social product [Marx/Engels]
The nature of an individual coincides with what they produce and how they produce it [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
Men distinguish themselves from animals when they begin to produce their means of subsistence [Marx/Engels]
Producing their own subsistence distinguishes men from animals [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]
If the common interest imposes on the individual, his actions become alienated and enslaving [Marx/Engels]
In communist society we are not trapped in one activity, but can act freely [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]
27. Natural Reality / C. Space / 2. Space
If space is really just a force-field, then it is a physical entity [Burgess/Rosen]