20 ideas
19336 | Wisdom involves the desire to achieve perfection [Leibniz] |
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [Hilbert] |
12455 | The idea of an infinite totality is an illusion [Hilbert] |
12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
19400 | Possibles demand existence, so as many of them as possible must actually exist [Leibniz] |
19401 | God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz] |
7696 | Leibniz first asked 'why is there something rather than nothing?' [Leibniz, by Jacquette] |
19341 | There must be a straining towards existence in the essence of all possible things [Leibniz] |
19428 | Because something does exist, there must be a drive in possible things towards existence [Leibniz] |
5047 | The world is physically necessary, as its contrary would imply imperfection or moral absurdity [Leibniz] |
19402 | The actual universe is the richest composite of what is possible [Leibniz] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
19343 | We follow the practical rule which always seeks maximum effect for minimum cost [Leibniz] |
19429 | The principle of determination in things obtains the greatest effect with the least effort [Leibniz] |