WebAug 7, 2014 · An infinite bounded set can be countable (e.g. all rationals between 0 and 1) or uncountable (e.g. all reals between 0 and 1). Aug 8, 2014 at 0:45. The set of all numbers between 0 and 1 is infinite and bounded. The fact that every member of that set is less than 1 and greater than 0 entails that it is bounded. WebThe actual infinite is not a process in time; it is an infinity that exists wholly at one time. By contrast, Aristotle spoke of the potentially infinite as a never-ending process over time, but which is finite at any specific time. The word “potential” is being used in a technical sense.
Are there fundamental differences between finite and infinite …
WebDec 6, 2024 · You can certainly relax the finiteness condition on these by allowing, say, the machine to have infinitely many states but if you do, the resulting machine becomes uninteresting, in the sense that such machines can be designed to accept any languages at all. Share Cite answered Dec 6, 2024 at 13:36 Rick Decker 14.7k 5 40 53 WebMay 7, 2016 · Take an expression like a, denoting the finite language containing just the single word "a". We can add a single repetition operator to that expression, and we get a*, the infinite language containing every concatenation of … debt clock counter
How can something finite become infinite? - Physics …
WebMar 8, 2024 · You can fill the finite extruded Koch snowflake 3-D volume with a finite amount of 3-D paint. But the Koch snowflake, while topologically a 1-D line, has Hausdorff dimension log 3 4 ≈ 1.2618 …, because each edge is made of 4 copies of itself each 3 times smaller. The extruded cookie cutter Koch snowflake surface, while topologically 2-D ... WebIn the standard ΛCDM model of the Big Bang, the universe is infinite and has always been such. The Big Bang singularity happened everywhere, in the sense that far back enough in time, the density diverges to infinity at every place. But this is just a particular model--it assumes that the universe if spatially flat and is globally homogeneous ... WebJan 8, 2015 · If it would not be infinite, then, given the infinite time elapsed since the beginning of that universe, the light from infinite number of stars (that was a hypothesis!) would eventually have reached to the measurement point (even if the speed of light would be finite) giving rise to the radiation level of infinite. But we measured a finite ... feast of love streaming