Combining Texts

All the ideas for 'fragments/reports', 'On Second-Order Logic' and 'Existentialism: an introduction'

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17 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenologists say all experience is about something and is directed [Aho]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
14. Science / B. Scientific Theories / 2. Aim of Science
Science has to abstract out the subjective attributes of things, focusing on what is objective [Aho]
23. Ethics / F. Existentialism / 3. Angst
Anxiety, nausea, guilt and absurdity shake us up, revealing our freedom and limits [Aho]
23. Ethics / F. Existentialism / 5. Existence-Essence
Our 'existence' is how we create ourselves, unconstrained by any prior 'essence' [Aho]
23. Ethics / F. Existentialism / 6. Authentic Self
The self is constituted by its choices made within a social context [Aho]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Social contracts and markets have made society seem disconnected and artificial [Aho]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Protestantism brought the modern emphasis on inner states of the soul [Aho]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Four Noble Truths: life is suffering, caused by attachment, it is avoidable, there is a path [Aho]