With this new way of providing a foundation for mathematics, which we may appropriately call a proof theory, I pursue a significan...t goal, for I should like to eliminate once and for all the questions regarding the foundations of mathematics, in the form in which they are now posed, by turning every mathematical proposition into a formula that can be concretely exhibited and strictly derived, thus recasting mathematical definitions and inferences in such a way that they are unshakable and yet provide an adequate picture of the whole of science. I believe I can attain this goal completely with my proof theory.LESSATTRIBUTION DETAIL »
In the continual enterprise of trying to guide appropriately, renegotiate with, listen to and just generally coexist with our teen...age children, we ourselves are changed. We learn even more clearly what our base-line virtues are. We listen to our teenagers and change our minds about some things, stretching our own limits. We learn our own capacity for flexibility, firmness and endurance.LESSATTRIBUTION DETAIL »
Color is my day-long obsession, joy and torment. To such an extent indeed that one day, finding myself at the deathbed of a woman ...who had been and still was very dear to me, I caught myself in the act of focusing on her temples and automatically analyzing the succession of appropriately graded colors which death was imposing on her motionless face.LESSATTRIBUTION DETAIL »
We imagine much more appropriately an artisan on his toilet seat or on his wife than a great president, venerable by his demeanor ...and his ability. It seems to us that they do not stoop from their lofty thrones even to live.LESSATTRIBUTION DETAIL »
Wondrous hole! Magical hole! Dazzlingly influential hole! Noble and effulgent hole! From this hole everything follows logically: f...irst the baby, then the placenta, then, for years and years and years until death, a way of life. It is all logic, and she who lives by the hole will live also by its logic. It is, appropriately, logic with a hole in it.LESSATTRIBUTION DETAIL »
Negotiating the adolescent stage is neither quick nor easy. . . . I have often said to parents, "If it isn't illegal, immoral, or ...fattening, give it your blessing." We do much better . . . if we find and support all the places we can appropriately say yes, and say only the no's that really matter.LESSATTRIBUTION DETAIL »
Information about child development enhances parents' capacity to respond appropriately to their children. Informed parents are be...tter equipped to problem-solve, more confident of their decisions, and more likely to respond sensitively to their children's developmental needs.LESSATTRIBUTION DETAIL »