Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Transcendence of the Ego' and 'The Semantic Conception of Truth'

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51 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Some say metaphysics is a highly generalised empirical study of objects [Tarski]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Disputes that fail to use precise scientific terminology are all meaningless [Tarski]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology assumes that all consciousness is of something [Sartre]
2. Reason / D. Definition / 1. Definitions
For a definition we need the words or concepts used, the rules, and the structure of the language [Tarski]
3. Truth / A. Truth Problems / 2. Defining Truth
Definitions of truth should not introduce a new version of the concept, but capture the old one [Tarski]
A definition of truth should be materially adequate and formally correct [Tarski]
A rigorous definition of truth is only possible in an exactly specified language [Tarski]
We may eventually need to split the word 'true' into several less ambiguous terms [Tarski]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
It is convenient to attach 'true' to sentences, and hence the language must be specified [Tarski]
In the classical concept of truth, 'snow is white' is true if snow is white [Tarski]
Scheme (T) is not a definition of truth [Tarski]
Each interpreted T-sentence is a partial definition of truth; the whole definition is their conjunction [Tarski]
Use 'true' so that all T-sentences can be asserted, and the definition will then be 'adequate' [Tarski]
We don't give conditions for asserting 'snow is white'; just that assertion implies 'snow is white' is true [Tarski]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
The best truth definition involves other semantic notions, like satisfaction (relating terms and objects) [Tarski]
Specify satisfaction for simple sentences, then compounds; true sentences are satisfied by all objects [Tarski]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
We can't use a semantically closed language, or ditch our logic, so a meta-language is needed [Tarski]
The metalanguage must contain the object language, logic, and defined semantics [Tarski]
3. Truth / F. Semantic Truth / 2. Semantic Truth
If listing equivalences is a reduction of truth, witchcraft is just a list of witch-victim pairs [Field,H on Tarski]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
We need an undefined term 'true' in the meta-language, specified by axioms [Tarski]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
Truth can't be eliminated from universal claims, or from particular unspecified claims [Tarski]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Semantics is a very modest discipline which solves no real problems [Tarski]
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
Truth tables give prior conditions for logic, but are outside the system, and not definitions [Tarski]
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 / D. Assumptions for Logic / 2. Excluded Middle
The truth definition proves semantic contradiction and excluded middle laws (not the logic laws) [Tarski]
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 / 6. Paradoxes in Language / a. The Liar paradox
The Liar makes us assert a false sentence, so it must be taken seriously [Tarski]
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]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
The Cogito depends on a second-order experience, of being conscious of consciousness [Sartre]
The consciousness that says 'I think' is not the consciousness that thinks [Sartre]
Is the Cogito reporting an immediate experience of doubting, or the whole enterprise of doubting? [Sartre]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / b. Scepticism of other minds
We can never, even in principle, grasp other minds, because the Ego is self-conceiving [Sartre]
A consciousness can conceive of no other consciousness than itself [Sartre]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
The eternal truth of 2+2=4 is what gives unity to the mind which regularly thinks it [Sartre]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Consciousness exists as consciousness of itself [Sartre]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Since we are a consciousness, Sartre entirely rejected the unconscious mind [Sartre, by Daigle]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Intentionality defines, transcends and unites consciousness [Sartre]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
If you think of '2+2=4' as the content of thought, the self must be united transcendentally [Sartre]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
The Ego is not formally or materially part of consciousness, but is outside in the world [Sartre]
16. Persons / C. Self-Awareness / 2. Knowing the Self
How could two I's, the reflective and the reflected, communicate with each other? [Sartre]
Knowing yourself requires an exterior viewpoint, which is necessarily false [Sartre]
My ego is more intimate to me, but not more certain than other egos [Sartre]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
The Ego never appears except when we are not looking for it [Sartre]
When we are unreflective (as when chasing a tram) there is no 'I' [Sartre]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
It is theoretically possible that the Ego consists entirely of false memories [Sartre]
16. Persons / D. Continuity of the Self / 4. Split Consciousness
If the 'I' is transcendental, it unnecessarily splits consciousness in two [Sartre]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Maybe it is the act of reflection that brings 'me' into existence [Sartre]
The Ego only appears to reflection, so it is cut off from the World [Sartre]