33 ideas
17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
17638 | If one proposition is deduced from another, they are more certain together than alone [Russell] |
4642 | No fact can be real and no proposition true unless there is a Sufficient Reason (even if we can't know it) [Leibniz] |
17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
2115 | Everything in the universe is interconnected, so potentially a mind could know everything [Leibniz] |
2111 | Falsehood involves a contradiction, and truth is contradictory of falsehood [Leibniz] |
17629 | Which premises are ultimate varies with context [Russell] |
17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
17640 | Finding the axioms may be the only route to some new results [Russell] |
17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
17628 | Arithmetic was probably inferred from relationships between physical objects [Russell] |
7644 | The monad idea incomprehensibly spiritualises matter, instead of materialising soul [La Mettrie on Leibniz] |
12695 | Epicurean atomists say body is sensible, to distinguish it from space. [Garber] |
11857 | He replaced Aristotelian continuants with monads [Leibniz, by Wiggins] |
7843 | Is a drop of urine really an infinity of thinking monads? [Voltaire on Leibniz] |
12751 | It is unclear in 'Monadology' how extended bodies relate to mind-like monads. [Garber on Leibniz] |
19363 | Changes in a monad come from an internal principle, and the diversity within its substance [Leibniz] |
19352 | A 'monad' has basic perception and appetite; a 'soul' has distinct perception and memory [Leibniz] |
7931 | If a substance is just a thing that has properties, it seems to be a characterless non-entity [Leibniz, by Macdonald,C] |
17554 | There must be some internal difference between any two beings in nature [Leibniz] |
2112 | Truths of reason are known by analysis, and are necessary; facts are contingent, and their opposites possible [Leibniz] |
17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
9344 | Mathematical analysis ends in primitive principles, which cannot be and need not be demonstrated [Leibniz] |
2110 | We all expect the sun to rise tomorrow by experience, but astronomers expect it by reason [Leibniz] |
17639 | Believing a whole science is more than believing each of its propositions [Russell] |
17631 | Induction is inferring premises from consequences [Russell] |
2109 | Increase a conscious machine to the size of a mill - you still won't see perceptions in it [Leibniz] |
19362 | We know the 'I' and its contents by abstraction from awareness of necessary truths [Leibniz] |
12707 | The true elements are atomic monads [Leibniz] |
12705 | Epicurean atoms are distinguished by their extreme hardness [Garber] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
2114 | This is the most perfect possible universe, in its combination of variety with order [Leibniz] |
2113 | God alone (the Necessary Being) has the privilege that He must exist if He is possible [Leibniz] |