Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'When Does a Life Begin?' and 'Propositions'

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19 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
Are the truth-bearers sentences, utterances, ideas, beliefs, judgements, propositions or statements? [Cartwright,R]
Logicians take sentences to be truth-bearers for rigour, rather than for philosophical reasons [Cartwright,R]
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]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
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]
9. Objects / F. Identity among Objects / 4. Type Identity
A token isn't a unique occurrence, as the case of a word or a number shows [Cartwright,R]
19. Language / A. Nature of Meaning / 1. Meaning
People don't assert the meaning of the words they utter [Cartwright,R]
For any statement, there is no one meaning which any sentence asserting it must have [Cartwright,R]
19. Language / D. Propositions / 1. Propositions
We can pull apart assertion from utterance, and the action, the event and the subject-matter for each [Cartwright,R]
'It's raining' makes a different assertion on different occasions, but its meaning remains the same [Cartwright,R]
19. Language / D. Propositions / 4. Mental Propositions
We can attribute 'true' and 'false' to whatever it was that was said [Cartwright,R]
To assert that p, it is neither necessary nor sufficient to utter some particular words [Cartwright,R]
19. Language / F. Communication / 2. Assertion
Assertions, unlike sentence meanings, can be accurate, probable, exaggerated, false.... [Cartwright,R]
25. Social Practice / F. Life Issues / 3. Abortion
I may exist before I become a person, just as I exist before I become an adult [Lockwood]
If the soul is held to leave the body at brain-death, it should arrive at the time of brain-creation [Lockwood]
It isn't obviously wicked to destroy a potential human being (e.g. an ununited egg and sperm) [Lockwood]