67 ideas
| 20678 | The Scientific Revolution was the discovery of our own ignorance [Harari] |
| 20686 | For millenia people didn't know how to convert one type of energy into another [Harari] |
| 10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
| 10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
| 10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
| 10165 | 'Analysis' is the theory of the real numbers [Reck/Price] |
| 10174 | Mereological arithmetic needs infinite objects, and function definitions [Reck/Price] |
| 10164 | Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price] |
| 10172 | Set-theory gives a unified and an explicit basis for mathematics [Reck/Price] |
| 10167 | Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price] |
| 10169 | Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price] |
| 10179 | There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price] |
| 10181 | Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price] |
| 10182 | There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price] |
| 10168 | Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price] |
| 10178 | Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price] |
| 10176 | Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price] |
| 10177 | Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price] |
| 10171 | The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price] |
| 10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
| 20692 | Money does produce happiness, but only up to a point [Harari] |
| 20663 | If a group is bound by gossip, the natural size is 150 people [Harari] |
| 20677 | Since 1500 human population has increased fourteenfold, and consumption far more [Harari] |
| 20688 | People 300m tons; domesticated animals 700m tons; larger wild animals 100m tons [Harari] |
| 20674 | The Nazi aim was to encourage progressive evolution, and avoid degeneration [Harari] |
| 20679 | We stabilise societies with dogmas, either of dubious science, or of non-scientific values [Harari] |
| 20690 | The state fostered individualism, to break the power of family and community [Harari] |
| 20689 | In 1750 losing your family and community meant death [Harari] |
| 20681 | The sacred command of capitalism is that profits must be used to increase production [Harari] |
| 20682 | The main rule of capitalism is that all other goods depend on economic growth [Harari] |
| 20683 | The progress of capitalism depends entirely on the new discoveries and gadgets of science [Harari] |
| 20687 | In capitalism the rich invest, and the rest of us go shopping [Harari] |
| 20685 | No market is free of political bias, and markets need protection of their freedoms [Harari] |
| 20693 | Freedom may work against us, as individuals can choose to leave, and make fewer commitments [Harari] |
| 20691 | Real peace is the implausibility of war (and not just its absence) [Harari] |
| 20684 | Financing is increasingly through credit rather than taxes; people prefer investing to taxation [Harari] |
| 20675 | The more you know about history, the harder it becomes to explain [Harari] |
| 20676 | History teaches us that the present was not inevitable, and shows us the possibilities [Harari] |
| 21181 | Relativity and Quantum theory give very different accounts of forces [Hesketh] |
| 21183 | Thermodynamics introduced work and entropy, to understand steam engine efficiency [Hesketh] |
| 21191 | Photons are B and W° bosons, linked by the Higgs mechanism [Hesketh] |
| 21199 | Spinning electric charge produces magnetism, so all fermions are magnets [Hesketh] |
| 21189 | Electrons may have smaller components, bound by a new force [Hesketh] |
| 21180 | Electrons are fundamental and are not made of anything; they are properties without size [Hesketh] |
| 21182 | Quantum mechanics is our only theory, and is very precise, and repeatedly confirmed [Hesketh] |
| 21184 | Physics was rewritten to explain stable electron orbits [Hesketh] |
| 21187 | Virtual particles can't be measured, and can ignore the laws of physics [Hesketh] |
| 21185 | Colour charge is positive or negative, and also has red, green or blue direction [Hesketh] |
| 21194 | The Standard Model omits gravity, because there are no particles involved [Hesketh] |
| 21195 | In Supersymmetry the Standard Model simplifies at high energies [Hesketh] |
| 21197 | Standard Model forces are one- two- and three-dimensional [Hesketh] |
| 21188 | Quarks and leptons have a weak charge, for the weak force [Hesketh] |
| 21186 | Quarks rush wildly around in protons, restrained by the gluons [Hesketh] |
| 21192 | Neutrinos only interact with the weak force, but decays produce them in huge numbers [Hesketh] |
| 21196 | To combine the forces, they must all be the same strength at some point [Hesketh] |
| 21190 | 'Space' in physics just means location [Hesketh] |
| 21193 | The universe is 68% dark energy, 27% dark matter, 5% regular matter [Hesketh] |
| 21198 | If a cosmic theory relies a great deal on fine-tuning basic values, it is probably wrong [Hesketh] |
| 20671 | In order to explain both order and evil, a single evil creator is best, but no one favours that [Harari] |
| 20664 | Animism is belief that every part of nature is aware and feeling, and can communicate [Harari] |
| 20666 | Most polytheist recognise one supreme power or law, behind the various gods [Harari] |
| 20667 | Polytheism is open-minded, and rarely persecutes opponents [Harari] |
| 20665 | Mythologies are usual contracts with the gods, exchanging devotion for control of nature [Harari] |
| 20669 | Dualist religions see everything as a battleground of good and evil forces [Harari] |
| 20670 | Dualist religions say the cosmos is a battleground, so can’t explain its order [Harari] |
| 20673 | Manichaeans and Gnostics: good made spirit, evil made flesh [Harari] |
| 20668 | Monotheism appeared in Egypt in 1350 BCE, when the god Aten was declared supreme [Harari] |