Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Transcendence of the Ego' and 'Higher-Order Logic'

expand these ideas     |    start again     |     specify just one area for these texts

34 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
7113 Phenomenology assumes that all consciousness is of something [Sartre]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10301 The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10588 First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10298 Some say that second-order logic is mathematics, not logic [Shapiro]
10299 If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
10300 Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
10290 Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10590 Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
10296 The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
10297 The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
10292 Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10294 Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro]
8. Modes of Existence / B. Properties / 11. Properties as Sets
10591 Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
7112 The Cogito depends on a second-order experience, of being conscious of consciousness [Sartre]
7114 The consciousness that says 'I think' is not the consciousness that thinks [Sartre]
7119 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
7122 We can never, even in principle, grasp other minds, because the Ego is self-conceiving [Sartre]
7125 A consciousness can conceive of no other consciousness than itself [Sartre]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
7108 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
7111 Consciousness exists as consciousness of itself [Sartre]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
22226 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
7107 Intentionality defines, transcends and unites consciousness [Sartre]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
7109 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
7106 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
7117 How could two I's, the reflective and the reflected, communicate with each other? [Sartre]
7123 Knowing yourself requires an exterior viewpoint, which is necessarily false [Sartre]
22225 My ego is more intimate to me, but not more certain than other egos [Sartre]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
7124 The Ego never appears except when we are not looking for it [Sartre]
7116 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
7120 It is theoretically possible that the Ego consists entirely of false memories [Sartre]
16. Persons / D. Continuity of the Self / 4. Split Consciousness
7110 If the 'I' is transcendental, it unnecessarily splits consciousness in two [Sartre]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
7115 Maybe it is the act of reflection that brings 'me' into existence [Sartre]
7121 The Ego only appears to reflection, so it is cut off from the World [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]