...), but that particular format is not required by the standard. In the .... I think this is why FLOAT was not used as the type...there has been hardware that did not get this one right either.... thinking that transcendental numbers are not real. So suppose you're ... with a format for representing real numbers that can represent numbers ... n, you get zero, and not because the result rounds to ...

... countably infinite) is fundamental. The reals are limits of Cauchy sequences.... of your transcental functions are not irrational. Trivially. You can write...the real number system that don't hold for digital floating...numbers representable by any particular floating point representation isn't even...interest in the definition of real numbers. -- Richard Maine | Good judgement...

... particular reason to call 'float' instead of 'real'? Integers are still ... mathematical sense. The Fortran REAL keyword was not part of the ... the October 1956 manual.) The REAL keyword may have been added ... sense. Though Fortran 66 uses the REAL intrinsic function as the ...of a complex value, and FLOAT to convert integer values to...point values. PL/I uses REAL as the alternative to COMPLEX...

... into set theory and he was fully intending to get back to real mathematics. He suggested that the Riemann Hypothesis looked interesting as a ... set of the integers) and C is the cardinality of the reals then the continuum hypotheis is that C = X_1. ... You seem to be objecting to some fact which was not stated. Perhaps you object to the notation used without looking at ...

... into set theory and he was fully intending to get back to real mathematics. He suggested that the Riemann Hypothesis looked interesting as a... set of the integers) and C is the cardinality of the reals then the continuum hypotheis is that C = X_1. ...an "=". You seem to be objecting to some fact which was not stated. Perhaps you object to the notation used without looking at the...

... obit: "Cohen shocked the math establishment by proving that the Continuum Hypothesis could not be decided. The notion that conventional mathematics couldn't prove or disprove concrete ... theory; Cohen showed that their negations are consistent as well. The reporter decided not to mention the rest of set theory; probably a wise choice. The ...

... proving that the Continuum Hypothesis could not be decided. The notion that conventional ... consistent as well. The reporter decided not to mention the rest of set ... a bit of a non-sequitur. Not being an expert in set theory ... fully intending to get back to real mathematics. He suggested that the Riemann ... C is the cardinality of the reals then the continuum hypotheis is that C...

... that the Continuum Hypothesis could not be decided. The notion that ... as well. The reporter decided not to mention the rest of ... so more context was supplied. Not being an expert in set ... intending to get back to real mathematics. He suggested that the ...C is the cardinality of the reals then the continuum hypotheis is ... who are disconnected from the real world! (We could take this ...

... math establishment by proving that the Continuum Hypothesis could not be decided. The notion that conventional mathematics couldn't prove or ... showed that their negations are consistent as well. The reporter decided not to mention the rest of set theory; probably a wise ...has a rather different sound than to say that it could not be decided even if both seem to have the same meaning...

... Dan Nagle Purple Sage Computing Solutions, Inc. Well, the threading is clearly messed up on this particular posting as I specifically selected google sequence item 42 in Netscape. That is not how it is threaded. So either an accidental misselection occurred or some glitch happened. I'm leaning toward glitch because I was reading that item (42 per google) and just hit the reply ...