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Computers have been on the hunt ever since, and currently the 47th Mersenne prime is the largest known to humanity. Discovered in 2008, it is 2^43,112,609 - 1, which is a number with nearly 13 million digits.
originally posted by: BakedCrusader
a reply to: Arbitrageur
Give both definitions please so we can see the difference.
a theoretical universal substance believed during the 19th century to act as the medium for transmission of electromagnetic waves (e.g., light and X-rays), much as sound waves are transmitted by elastic media such as air. The ether was assumed to be weightless, transparent, frictionless, undetectable chemically or physically, and literally permeating all matter and space. The theory met with increasing difficulties as the nature of light and the structure of matter became better understood. It was seriously weakened (1887) by the Michelson-Morley experiment, which was designed specifically to detect the motion of Earth through the ether and which showed that there was no such effect.
single concept that recognizes the union of space and time, posited by Albert Einstein in the theories of relativity (1905, 1916).
Mach's idea finds its full development in the ether of the general theory of relativity. According to this theory the metrical qualities of the continuum of space-time differ in the environment of different points of space-time, and are partly conditioned by the matter existing outside of the territory under consideration. This space-time variability of the reciprocal relations of the standards of space and time, or, perhaps, the recognition of the fact that "empty space" in its physical relation is neither homogeneous nor isotropic, compelling us to describe its state by ten functions (the gravitation potentials gmn), has, I think, finally disposed of the view that space is physically empty. But therewith the conception of the ether has again acquired an intelligible content although this content differs widely from that of the ether of the mechanical undulatory theory of light. The ether of the general theory of relativity is a medium which is itself devoid of all mechanical and kinematical qualities, but helps to determine mechanical (and electromagnetic) events.
What is fundamentally new in the ether of the general theory of relativity as opposed to the ether of Lorentz consists in this, that the state of the former is at every place determined by connections with the matter and the state of the ether in neighbouring places, which are amenable to law in the form of differential equations; whereas the state of the Lorentzian ether in the absence of electromagnetic fields is conditioned by nothing outside itself, and is everywhere the same.
Deductive reasoning, also deductive logic, logical deduction is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion.[1] It differs from inductive reasoning and adductive reasoning.
Deductive reasoning links premises with conclusions. If all premises are true, the terms are clear, and the rules of deductive logic are followed, then the conclusion reached is necessarily true.
Deductive reasoning (top-down logic) contrasts with inductive reasoning (bottom-up logic) in the following way: In deductive reasoning, a conclusion is reached reductively by applying general rules that hold over the entirety of a closed domain of discourse, narrowing the range under consideration until only the conclusion(s) is left. In inductive reasoning, the conclusion is reached by generalizing or extrapolating from specific cases to general rules, i.e., there is epistemic uncertainty. However, the inductive reasoning mentioned here is not the same as induction used in mathematical proofs – mathematical induction is actually a form of deductive reasoning.
He explained the rather dramatic difference. If you don't understand what he said then your reading comprehension is lacking, but I think part of the reason we now refer to "space-time" instead of "ether" is so we don't confuse two totally different types of aether with totally different properties by using names that are too similar.
originally posted by: BakedCrusader
a reply to: Arbitrageur
Sure, bla bla, off course there are not going to come out and say that the aether they got rid of is not the exact same concept as the "new ether". It's a totally different thing but let's call it ether too!
If you're telling me this is referring to dark energy/matter then you need to improve your communication skills because I see no hint of dark matter or dark energy referenced in this comment:
originally posted by: BakedCrusader
a reply to: Arbitrageur
You mentioned space time, I was talking about Dark Energy/Matter.
originally posted by: BakedCrusader
a reply to: Arbitrageur
Sure, bla bla, off course there are not going to come out and say that the aether they got rid of is not the exact same concept as the "new ether". It's a totally different thing but let's call it ether too!