▽Quantum Gravity ●05/05 17:12 First published Mon Dec 26, 2005; substantive revision Thu May 2, 2019 Quantum Gravity, broadly construed, is a physical theory (still ‘under construction’) incorporating both the principles of general relativity and quantum theory. Such a theory is expected to be able to provide a satisfactory description of the microstructure of spacetime at the so-called Planck scale, at which all f
▽Indispensability Arguments in the Philosophy of Mathematics ●03/01 05:40 First published Mon Dec 21, 1998; substantive revision Thu Feb 28, 2019 One of the most intriguing features of mathematics is its applicability to empirical science. Every branch of science draws upon large and often diverse portions of mathematics, from the use of Hilbert spaces in quantum mechanics to the use of differential geometry in general relativity. It’s not just the physical scienc