Infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity was invented by the English mathematician John Wallis in 1655. Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical. Mathematical infinities occur, for instance, as the number of points on a continuous line or as the size of the endless sequence of counting numbers.
Spatial and temporal concepts of infinity occur in physics when one asks if there are infinitely many stars or if the universe will last forever. In a metaphysical discussion of God or the Absolute, there are questions of whether an ultimate entity must be infinite and whether lesser things could be infinite as well.
The science of physical infinities is much less developed than the science of mathematical infinities. The main reason is simply that the status of physical infinities is quite undecided. In physics one might look for infinities in space, time, divisibility, or dimensionality.
Although some have speculated that three-dimensional space is infinite, cosmologists generally believe that the universe is curved in such a way as to make it finite but unbounded—akin to the surface of a sphere.
Perhaps the most familiar context for discussing infinity is in metaphysics and theology. Cantor originated the distinction between the infinities of mathematics, physics, and metaphysics. Although Plato thought of the Absolute as finite, all theologians and metaphysicians from Plotinus on have supposed the Absolute to be infinite. What is meant by the Absolute depends, of course, upon the philosopher in question – it might be taken to mean God, an overarching universal mind, or simply the class of all possible thoughts.
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This template will be useful for teachers of mathematics when preparing courses. Also, physicists can use this template when explaining the theory of the infinity of the universe. Engineers can use the slides in this template to prepare instructions and operating principles for new equipment.
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