Liviticus's Paradox of Fractions
Flawed Theory wrote:1/3 = 0.333... Therefore, 1/3 = 0.333... + ...333, meaning you can add a 3 after every last decimal, from this you can occlude that if you map out 1/3 you will find that it is ever expanding based off of the numbers although we know this is not the case as dividing a candy bar (for example) into 3 equal parts would mean each individual part is ever-expanding, therefor the whole candy bar is ever expanding, this is not possible because we know that 1 < 1 is not logically possible, although this means that there should be an end to the decimal form of 1/3, although this will not mathematically make sense as it is reoccurring.
After further calculation I saw that the 0.333... Will never reach 0.4 therefore it isn't ever-expanding, although the 2nd paragraph is still relevant.
Also, with this particular example, 0.333... Is a 3rd, meaning that 0.333... * 3 = 1, although we know that this is not the case because 0.333... * 3 = 0.999... Therefor, 1/3 *3 = 0.999... We also know that this is not the case because a 3rd * 3 = 1.
The paradox comes in when you conclude from this that 1/3 * 3 is either >1 or <1 but never 1, although 1 being the only answer we can give to 1/3 * 3, neither of these are possible. From this we can conclude that 1/3 does not equal 0.333... And that the true solution is either an imaginary number or an undiscovered irrational digit.
I don't know if this made any sense to you, or if my premise is flawed.