27 ideas
13030 | Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen] |
13032 | Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen] |
13033 | Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen] |
13037 | Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen] |
13038 | Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen] |
13034 | Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen] |
13039 | Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen] |
13036 | Choice: ∀A ∃R (R well-orders A) [Kunen] |
13029 | Set Existence: ∃x (x = x) [Kunen] |
13031 | Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen] |
13040 | Constructibility: V = L (all sets are constructible) [Kunen] |
18465 | An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
21202 | The strong force has a considerably greater range than the weak force [Martin,BR] |
21211 | If an expected reaction does not occur, that implies a conservation law [Martin,BR] |
21209 | Electron emit and reabsorb photons, which create and reabsorb virtual electrons and positrons [Martin,BR] |
21212 | The Higgs field, unlike others, has a nozero value in a state without particles [Martin,BR] |
21201 | A 'field' is just a region to which points can be assigned in space and time [Martin,BR] |
21205 | Many physicists believe particles have further structure, if only we could see it [Martin,BR] |
21203 | Uncertainty allows very brief violations of energy conservation - even shorter with higher energies [Martin,BR] |
21207 | The Exclusion Principle says no two fermions occupy the same state, with the same numbers [Martin,BR] |
21204 | The standard model combines theories of strong interaction, and electromagnetic and weak interaction [Martin,BR] |
21208 | Eletrons don't literally 'spin', because they are point-like [Martin,BR] |
21210 | Virtual particles surround any charged particle [Martin,BR] |
21206 | The properties of a particle are determined by its quantum numbers and its mass [Martin,BR] |
21213 | String theory only has one free parameter (tension) - unlike the standard model with 19 [Martin,BR] |
21200 | An 'element' is what cannot be decomposed by chemistry [Martin,BR] |