Ok im 16 and the other day my mind started wandering until i started thinking about this, there was no inspiration for it and ive not seen anything like it elsewhere, so tell me what you think :), sofar ive not been able to get a solution for it, ive never done one of these before so im not exactly sure where to start, Im not even sure if im the first and only one to think this up, I wish, but probably not. Ok so it should be fairly obvious that there are different kinds of infinite, for example, an infinite in whole numbers from zero to +infinite and from zero to –infinite There would also, then, be an infinite in decimals from zero to 0.1 and from 0.1 to 0.1001, its easy to think that you can just throw more and more digits in to get closer and closer to the, but without quite ever reaching it. But lets try and think more practically, ill give an example of heat, a calorie is defined as the amount of energy required to raise the temperature of one gram of water by one degree, this does not change weather your heating it from 1ºC to 2 ºC, or from 98 ºC to 99 ºC, therefore, as long as a constant heat is being applied to an object, its raise in temperature is linear Say you are raising the temperature of an object from 39 ºC to 40 ºC, if you imagine plotting the line on an axis of temperature versus time, the line would pass through 39 º and 40 º, it is safe to assume that the object would pass through 39.1, 39.2, 39.3 and so on Now here is where the infinite idea comes in, if it passes through all the points from 39-40 it passes through 39.9, 39.99, 39.999, 39.99999999999, if you can keep throwing in more nines into the temperature, where does it cross over the boundary into 40 º? We know that it is easily possible to heat an object from 39 º to 40 º, but how can it be, where does it end, unless infinite is only a theoretical concept with no practical applications? Thoughts?