Julia Kagan is a financial/consumer journalist and former senior editor, personal finance, of Investopedia. Michael Boyle is an experienced financial professional with more than 10 years working with ...

NEITHER Dr. Hilbert nor the reviewer make any suggestion that the commutative law of addition is best proved as a deduction from the laws of multiplication. But the laws of multiplication are so often ...

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle. Yarilet Perez is an experienced ...

Q: We adore our Craftsman bungalow, but it’s starting to feel a little cramped. Is adding a second floor worth the investment? A: Adding a second-story addition to your home is a big decision, and one ...

The original version of this story appeared in Quanta Magazine. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward operation: One of the first ...

A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...