48 ideas
6319 | Wise people choose inaction and silence [Laozi (Lao Tzu)] |
6325 | One who knows does not speak; one who speaks does not know [Laozi (Lao Tzu)] |
20771 | Six parts: dialectic, rhetoric, ethics, politics, physics, theology [Cleanthes, by Diog. Laertius] |
6321 | Vulgar people are alert; I alone am muddled [Laozi (Lao Tzu)] |
10676 | The Axiom of Choice is a non-logical principle of set-theory [Hossack] |
10686 | The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack] |
23623 | Predicativism says only predicated sets exist [Hossack] |
23624 | The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack] |
23625 | Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack] |
10687 | Maybe we reduce sets to ordinals, rather than the other way round [Hossack] |
10677 | Extensional mereology needs two definitions and two axioms [Hossack] |
23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |
23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
10671 | Plural definite descriptions pick out the largest class of things that fit the description [Hossack] |
10666 | Plural reference will refer to complex facts without postulating complex things [Hossack] |
10669 | Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack] |
10675 | A plural comprehension principle says there are some things one of which meets some condition [Hossack] |
10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
10680 | The theory of the transfinite needs the ordinal numbers [Hossack] |
10684 | I take the real numbers to be just lengths [Hossack] |
23626 | Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack] |
10674 | A plural language gives a single comprehensive induction axiom for arithmetic [Hossack] |
10681 | In arithmetic singularists need sets as the instantiator of numeric properties [Hossack] |
10685 | Set theory is the science of infinity [Hossack] |
23621 | Numbers are properties, not sets (because numbers are magnitudes) [Hossack] |
23622 | We can only mentally construct potential infinities, but maths needs actual infinities [Hossack] |
10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
10664 | Complex particulars are either masses, or composites, or sets [Hossack] |
10678 | The relation of composition is indispensable to the part-whole relation for individuals [Hossack] |
10665 | Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack] |
10682 | The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack] |
6328 | To know yet to think that one does not know is best [Laozi (Lao Tzu)] |
6323 | Pursuit of learning increases activity; the Way decreases it [Laozi (Lao Tzu)] |
6028 | Bodies interact with other bodies, and cuts cause pain, and shame causes blushing, so the soul is a body [Cleanthes, by Nemesius] |
20831 | The soul suffers when the body hurts, creates redness from shame, and pallor from fear [Cleanthes] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
6331 | Truth is not beautiful; beautiful speech is not truthful [Laozi (Lao Tzu)] |
6330 | One with no use for life is wiser than one who values it [Laozi (Lao Tzu)] |
6327 | Do good to him who has done you an injury [Laozi (Lao Tzu)] |
23402 | The highest virtue is achieved without effort [Laozi (Lao Tzu)] |
6324 | To gain in goodness, treat as good those who are good, and those who are not [Laozi (Lao Tzu)] |
6322 | There is no crime greater than having too many desires [Laozi (Lao Tzu)] |
6320 | The best rulers are invisible, the next admired, the next feared, and the worst are exploited [Laozi (Lao Tzu)] |
6329 | People are hard to govern because authorities love to do things [Laozi (Lao Tzu)] |
6326 | The better known the law, the more criminals there are [Laozi (Lao Tzu)] |
23401 | A military victory is not a thing of beauty [Laozi (Lao Tzu)] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |
5993 | The ascending scale of living creatures requires a perfect being [Cleanthes, by Tieleman] |