25 ideas
1922 | Spiritual qualities only become advantageous with the growth of wisdom [Plato] |
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] |
17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
17640 | Finding the axioms may be the only route to some new results [Russell] |
17629 | Which premises are ultimate varies with context [Russell] |
17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
11259 | How can you seek knowledge of something if you don't know it? [Plato] |
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] |
20219 | True opinions only become really valuable when they are tied down by reasons [Plato] |
6171 | Beliefs are states of the head that explain behaviour, and also items with referential truth-conditions [McGinn] |
17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
5985 | Seeking and learning are just recollection [Plato] |
5986 | The slave boy learns geometry from questioning, not teaching, so it is recollection [Plato] |
1923 | As a guide to action, true opinion is as good as knowledge [Plato] |
17639 | Believing a whole science is more than believing each of its propositions [Russell] |
1919 | You don't need to learn what you know, and how do you seek for what you don't know? [Plato] |
17631 | Induction is inferring premises from consequences [Russell] |
1913 | Is virtue taught, or achieved by practice, or a natural aptitude, or what? [Plato] |
1921 | If virtue is a type of knowledge then it ought to be taught [Plato] |
1927 | It seems that virtue is neither natural nor taught, but is a divine gift [Plato] |
1918 | How can you know part of virtue without knowing the whole? [Plato] |
1916 | Even if virtues are many and various, they must have something in common to make them virtues [Plato] |
17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |