Still infinite. Specifically, you won't get a larger infinity by adding two infinite numbers, or even by multiplying them. However, if you raise 2 to an infinite power, you do get a larger infinity. For more details, search the Wikipedia, or Google, for Aleph zero, or for aleph number.
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Infinity was first described in India. It was first described in Isha Upanishad from India that dates back to 2nd millennium BCE as in the following verse.Om purnam-adah purnam-idam; purnaat purnam-udacyate.purnasya purnam-aadaaya,purnam-Eva-avashishyateThe literal translation:That is infinite, this is infinite;From That infinite this infinite comes.From That infinite, this infinite removed or added;Infinite remains infinite.
How about three things that are infinite. Counted number are infinite. The complete statement of PI is infinite. The result of 1 divided by 3 is infinite.
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Countably infinite means you can set up a one-to-one correspondence between the set in question and the set of natural numbers. It can be shown that no such relationship can be established between the set of real numbers and the natural numbers, thus the set of real numbers is not "countable", but it is infinite.