Russell-Zermelo paradox.
Answering Russell's question: "Does the set of all contain itself as its element?", The continuation answers that the "set of all" contains several (probably four and much more) kinds of points, each of which has different sets of predicates. For example, the "barber's paradox":
Imagine a barber living in a certain village, who shaves all the villagers who do not shave themselves, and only them.
Does the barber shave himself?
Russell and Zermelo formulated in the era when there were no atomic explosions, during which a large number of photons are released; where these explosions are the transition of accumulation into material points, the loss of one of two predicates. Then the radiated photons, according to the Law of Nature, sooner or later all return to their former shape (they are the same, cannot be said that a new photon that came back, or the old one), and the barber appears from oblivion, safe and sound, and already "clean-shaven", starting to shave everyone.
Laser.
Laser is a device that converts pumping energy (light, electrical, thermal, chemical, etc.) into energy of coherent radiation flux, light. Thus we have another experimental proof that accumulation points (of thermal, chemical, etc. nature) can become material points, which means that the barber can become literally nothing and come out of nowhere, back as something.
Niels Bohr.
Bohr postulated that electrons are in quantized energy states where they can emit or absorb photons. Bohr also argued that an atom can be in special stationary quantum states, each of which corresponds to a certain energy; in this stationary state, the atom does not emit electromagnetic waves.
The Continuation absorbs these brilliant ideas, especially Bohr's remarkable idea of stationary: there is a state when the accumulation point contains all its elements, which leads to the termination of its existence and becoming material. That is, in Bohr’ terms, if an atom does not emit, then it does not exist: how can one say that something exists if it doesn’t interact?
Postulates.
The Postulate 1, as Einstein's principle of relativity, says:
- The laws of nature are the same in all coordinate systems, moving in a straight line and uniformly relative to each other.
In the light of the above said, the laws mentioned in passing by Einstein are concretized in one and monotheistic, so the Postulate I now:
- The number of elements in a given molar volume is constant.
Postulate II of the Continuation:
- The time of inclusion of a photon in any set is the minimum possible
Einstein, in his Postulate 2, about the speed of light, said the same thing, from a different perspective:
- The speed of light in a vacuum is the same in all coordinate systems, moving in a straight line and uniformly relative to each other.
Indeed, if the speed of movement is maximum, then the time of interaction with something is minimal; there time in the presented Continuation is measured in the standard units: hours, minutes, etc.