Beyond Zero and One (Andrew Smart) / quote 83 of 171

The robustness of mathematical truth

the precise mathematical entities from the approximations that we see around us in the world of physical things. In mathematics, we find a far greater robustness than can be located in any particular mind. Mathematics itself indeed seems to have a robustness that goes far beyond what any individual mathematician is capable of perceiving. Penrose admits that the actual mode of existence for mathematical truths is mysterious; however, what he means by their existence is their objective truth.

Saved 27 January 2018 / www.amazon.com ↗

#mathematics #truth #metaphysics

Related / other sources, sharing tags

All knowledge is in terms of contrasts

Yet metaphysics, like philosophy as a whole, is not something which can simply be cured or abandoned, as if it were an intellectual disease. The most…

The Book: On The Taboo Against Knowing Who You Are #meaningful-statements #metaphysics #things #statements

Eleusis and Plato's Forms

Did Eleusis birth the basic concepts of Western and Near Eastern metaphysics—the “Forms,” the “Ideas,” the “Archetypes”? The concept of another world, prior…

The Acid Diaries (Christopher Gray) #psychedelics #metaphysics #birth #memory #idea

Idealism and materialism as two kinds of monism

The dualists said that there are two kinds of things or properties in the universe, and with the failure of dualism, it is natural to suppose that maybe there…

Mind: A Brief Introduction (John R. Searle) #materialism #metaphysics #mind

Three ways of making mental substance fit the world

It is not easy to make the idea that the mind is a separate substance consistent with the rest of what we know about the world. Here are three ways of trying…

Mind: A Brief Introduction (John R. Searle) #dualism #God #physics #metaphysics

We must appreciate the historical justification of our wrong metaphysical beliefs

Some Backward Steps.—One very forward step in education is taken when man emerges from his superstitious and religious ideas and fears and, for instance, no…

Human, All Too Human: A Book For Free Spirits #movement #metaphysics

Concrete operations and reversibility

When children enter Piaget’s stage of concrete operations at about age seven, many changes in their thought patterns are visible. At this age (usually from…

Theories of Childhood, Second Edition (Carol Garhart Mooney) #child-development #thinking #classification #mathematics