Combining Texts

All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Transcendence of the Ego'

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43 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology assumes that all consciousness is of something [Sartre]
2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
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]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]