Is the universe infinite? It's one of the most profound questions we can ask, and here's the short answer: We don't know. While we have learned a great deal about the universe, a portion of the cosmos ...

One question has preoccupied humankind for thousands of years: Do infinities exist? More than 2,300 years ago Aristotle distinguished between two types of infinity: potential and actual. The former ...

How many atoms are there in the observable universe? Current estimates point to a number we would write as 1 followed by 80 zeroes, or 10 80. If you peered inside each of these atoms and counted their ...

Infinite computation represents an emerging paradigm that extends classical numerical methods through the incorporation of infinite and infinitesimal quantities. By embracing non‐standard analysis, ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...