Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Letter to Mersenne' and 'Reality is Not What it Seems'

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24 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739 Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18741 Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744 Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
20457 Zeno assumes collecting an infinity of things makes an infinite thing [Rovelli]
7. Existence / A. Nature of Existence / 1. Nature of Existence
18740 If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
7. Existence / B. Change in Existence / 2. Processes
20468 Quantum mechanics deals with processes, rather than with things [Rovelli]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
20467 Quantum mechanics describes the world entirely as events [Rovelli]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
18745 A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
18747 The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
18748 Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
18746 Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
18750 Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
16. Persons / F. Free Will / 3. Constraints on the will
3789 The more reasons that compel me, the freer I am [Descartes]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
20469 There are probably no infinities, and 'infinite' names what we do not yet know [Rovelli]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
20461 The basic ideas of fields and particles are merged in quantum mechanics [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
20462 Because it is quantised, a field behaves like a set of packets of energy [Rovelli]
20463 There are about fifteen particles fields, plus a few force fields [Rovelli]
20464 The world consists of quantum fields, with elementary events happening in spacetime [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
20459 Electrons only exist when they interact, and their being is their combination of quantum leaps [Rovelli]
20460 Electrons are not waves, because their collisions are at a point, and not spread out [Rovelli]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
20466 Quantum Theory describes events and possible interactions - not how things are [Rovelli]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
20465 Nature has three aspects: granularity, indeterminacy, and relations [Rovelli]
27. Natural Reality / C. Space / 4. Substantival Space
20458 The world is just particles plus fields; space is the gravitational field [Rovelli]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
20470 Only heat distinguishes past from future [Rovelli]