# Definition:Platonic Realism

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## Definition

At the heart of Plato's philosophy is the concept of **Ideas**, or **Ideals**, or **Forms**.

It is supposed that for every object there exists an *ideal form* of that object which is that object in perfect form.

In modern language, these would be referred to as **mathematical abstractions**.

**Platonic realism** is the idea that these abstractions *actually exist* in some place outside of space and time.

In particular, Plato recognised the concept of infinity as a realisable concept.

## Also known as

**Platonic realism** is also known as **Platonism**.

## Also see

## Source of Name

This entry was named for Plato.

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**Platonism** - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.2$: Pythagoras (ca. $\text {580}$ – $\text {500}$ B.C.) - 1996: Winfried Just and Martin Weese:
*Discovering Modern Set Theory. I: The Basics*... (previous) ... (next): Introduction