This view is not accepted anymore, which is good, since the a priori conclusion doesn't make sense. It is generally acknowledged that there is an iron limit to reductionism at the Planck limits. All the Base Planck units designate the various physical constants or the limits that are associated with them because of the properties of matter. The Planck Temperature, of approximately 10^32K, is the hottest possible temperature. Temperature is a direct measure of the average speed of particles within a measured system. Temperature can be increased by an input of energy in an endothermic reaction (this should not be confused with a state change, which does not change the temperature because  of the chem. potential). It is meaningless to speak of matter being "hotter" than the Planck temperature since matter breaks down at the Planck temperature into energy (the mass-energy equivalence).

In the same way, the Planck Length and the Planck Time set fundamental limits to reductionism. At the Planck levels on which this occur, motion is said to occur in "jumps". The Planck length is 10^-35m. It is not possible to say anything is "shorter" than 10^-35m. At this length, space-time, which is normally sheet-like and curved in the Einstein Field Equations, becomes foamy and kinked. If matter could be observed at this level, there would be "jumps" between Planck lengths because one cannot "transverse" anything less than 10^-35m. This is usually considered a better answer to Zeno's Paradox than is the notion of the limit in calculus, simply because in integration and differentiation, quantities are split up into infinitesamally small parts that are still existent quality, just not nearly enough to make a difference in the equation. But as an answer to Zeno it operates under the presumption that physical qualities operate in a similar manner. Now it has been suggested that it is likely that they do. Just like the Planck length, there is also the Planck time, which is 10^-35s. There cannot be anything "shorter" than the Planck time, and in the same way that things "jump" rather than transverse in quantum foam through space, so too, through time. The Base Planck units will set the limits for Temperature, Mass, Length, Time and Charge.