Combining Texts

All the ideas for 'The Meditations (To Himself)', 'Plurals and Complexes' and 'Meaning and the Moral Sciences'

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49 ideas

1. Philosophy / A. Wisdom / 2. Wise People
A philosopher should have principles ready for understanding, like a surgeon with instruments [Aurelius]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
A culture needs to admit that knowledge is more extensive than just 'science' [Putnam]
'True' and 'refers' cannot be made scientically precise, but are fundamental to science [Putnam]
3. Truth / A. Truth Problems / 1. Truth
'The rug is green' might be warrantedly assertible even though the rug is not green [Putnam]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
We need the correspondence theory of truth to understand language and science [Putnam]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence between concepts and unconceptualised reality is impossible [Putnam]
3. Truth / F. Semantic Truth / 2. Semantic Truth
In Tarski's definition, you understand 'true' if you accept the notions of the object language [Putnam]
Tarski has given a correct account of the formal logic of 'true', but there is more to the concept [Putnam]
Only Tarski has found a way to define 'true' [Putnam]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
7. Existence / B. Change in Existence / 1. Nature of Change
Everything is changing, including yourself and the whole universe [Aurelius]
7. Existence / D. Theories of Reality / 2. Realism
Realism is a theory, which explains the convergence of science and the success of language [Putnam]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
If a tautology is immune from revision, why would that make it true? [Putnam]
13. Knowledge Criteria / C. External Justification / 7. Testimony
Knowledge depends on believing others, which must be innate, as inferences are not strong enough [Putnam]
Empathy may not give knowledge, but it can give plausibility or right opinion [Putnam]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
You can't decide which explanations are good if you don't attend to the interest-relative aspects [Putnam]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
19. Language / A. Nature of Meaning / 1. Meaning
Theory of meaning presupposes theory of understanding and reference [Putnam]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Truth conditions can't explain understanding a sentence, because that in turn needs explanation [Putnam]
We should reject the view that truth is prior to meaning [Putnam]
19. Language / B. Reference / 1. Reference theories
How reference is specified is not what reference is [Putnam]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
The claim that scientific terms are incommensurable can be blocked if scientific terms are not descriptions [Putnam]
19. Language / F. Communication / 4. Private Language
A private language could work with reference and beliefs, and wouldn't need meaning [Putnam]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
The correct translation is the one that explains the speaker's behaviour [Putnam]
Language maps the world in many ways (because it maps onto other languages in many ways) [Putnam]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
You can't say 'most speaker's beliefs are true'; in some areas this is not so, and you can't count beliefs [Putnam]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Nothing is evil which is according to nature [Aurelius]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Justice has no virtue opposed to it, but pleasure has temperance opposed to it [Aurelius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / b. Living naturally
The art of life is more like the wrestler's than the dancer's [Aurelius]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Humans are naturally made for co-operation [Aurelius]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]