Line and reality

Abstract

For those with an interest in the most fundamental components of reality, reflecting on the simplest of things can yield a rich harvest. Consider two buttons, of exactly the same shade of red, one round and made of plastic, the other square and made of wood. Each button is clearly a distinct object in its own right: each is composed of a different portion of matter, each has its own spatial location. But are the buttons completely distinct? It might seem so, but a little reflection can suggest otherwise. Both buttons are the same colour, they are each red. The buttons do not possess merely similar colours, they possess literally identical colours: one and the same colour, a particular shade of red, is found in both objects. This same colour can be also be found in many other objects. Colour, it seems, is not tied down to any specific time or place, in the way ordinary objects are. The same (literally identical) colour can exist at many times and places. And what holds for colour also holds for other shareable characteristics, such as shapes and sizes, and sounds. We are thus led to the (now familiar) distinction between particulars (spatially located objects) and universals (repeatable, multiply-located properties). Plato was no stranger to this line of reasoning, but he found himself driven to take several further steps. He observed that in ordinary life we never encounter a truly perfect circle (or square, or triangle, or straight line), but that we nonetheless have the concept of such a circle. Relying on the (no means absurd) assumption that meaningful terms must have referents – in order to be meaningful at all – he was led to the conclusion that the perfect circle must exist in a non-physical plane of reality, a dimension where perfection is possible. He called this changeless, timeless, realm the world of ‘Forms’. He further reasoned that since ‘circle’ is a universal, all other universals (such as redness) must inhabit this realm also. Resemblances among the familiar objects in the physical world are to be explained in terms of Forms ‘participating’, more or less adequately, in these objects..

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Barry Francis Dainton
University of Liverpool

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