Posts by Martin

"... any such data would peel back the singularity itself, would it not?"

Such data would tentatively indicate that the singularity did not happen.

"Why not just accept the epistemological limitations implied by the singularity?"

Because there is no evidence that the singularity did happen. The extrapolation implying the singularity is invalid.

We can use an analogy from gravity:

The simple theory of a mass m at distance r from a mass M results in the potential energy V = -G * M * m / r with G as gravitational constant. This potential energy has a singularity at r = 0, i.e. when the position of both masses is the same.

The more accurate theory takes into account that the masses are not points but objects with an extension. Once mass m dives below the surface of mass M, the potential energy is V = -a + b * M * m * r * r for a homogeneously distributed mass M and constants a and b and has no singularity.

If we eventually figure out the modified laws of physics for the early universe, then we can extrapolate more accurately and will probably not obtain a singularity, similar to the example with m and M.

Here is my understanding from occasionally reading articles from cosmologists and astrophysicists for other physicists:

The data we have are best described by expansion from something what was at least similar to a Big Bang.

Some of the difficulties are:

Simply extrapolating the observations back leads to a singularity, i.e. energy density and mass density were infinite, from which the universe started in some sort of giant explosion. That is why that singularity was called Big Bang. In this simple extrapolation, time started with that singularity. However, at that time and until a tiny fraction of a second after the singularity, the conditions were such that our known laws of physics were most likely not valid. So a Big Bang in the strict sense of that singularity might indeed not have happened because the extrapolation to the singularity itself is invalid. That opens ways to speculate about a time before the point in time of the nominal singularity. However, we have no data to support these speculations.

Photons could not escape from the very dense matter of the early universe. No matter how good our optical telescopes become, that most interesting early universe will remain optically invisible. We may have a better chance to get closer with other methods, e.g. gravity waves.

Alan can probably explain this more accurately and in more detail.

There is indeed an analogy between some of the needs and the Epicurean classification of desires.

However, transcendence is not compatible with Epicurean philosophy.

Self actualization is suspicious, too, because it is usually interpreted to become what you are meant to be. However, in Epicurean philosophy, there is no instance which would establish what you are meant to be.

By the way, Maslow himself never rendered his system of needs as a pyramid. The actual importance of a particular need varies with individual circumstances. Therefore, there is no fixed hierarchy.

He added transcendence much later when he apparently got already senile. At latest with the addition of transcendence, his system of needs moved out of science into superstition.

I found no obvious difference in meaning between the French version and the Google translation during a quick read. It seems that the missing accents were no problem for Google.

Osho presented rather a new age hoax instead of an authentic reconstruction of Buddhism.

With new age hoaxes I mean cults which mix genuine quotes of what might be wisdom with trivialities and misleading nonsense masked as deep wisdom. Osho stands out from the new age crowd of pseudo-gurus with his humor and some of his criticisms. If you like satire, reading him for entertainment should be fine but do not waste your time trying to figure out the deep meaning of where he seems difficult to understand. Most likely, there is no such meaning.

We should avoid Osho as a reference for Buddhism because he was too far out at its fringes.

Welcome John!

Welcome Kungi!

Here are quick answers to your first three questions:

For an Epicurean, virtue is one of the tools to experience pleasure.

In Epicurean philosophy, what is virtuous depends on the particular context, whereas in Stoic philosophy, they seem to be rather absolute.

Wisdom is a particularly important virtue because it is used in the hedonic calculus to decide which actions should be taken / are virtuous.

Welcome Marcin Wasilewski!

Welcome GetulioVargasZ!

Hi beasain,

I think that you have already a good understanding of entropy except for some details affected by the inaccurate and misleading analogy between entropy and disorder. When I was an undergraduate student, that analogy considerably delayed my understanding of entropy. When ignoring that analogy and sticking to the definition of entropy as a measure of the probability of a thermodynamic state, I finally got a working understanding.

If you apply the analogy between entropy and disorder without consideration for the actual definition of entropy, you may easily get false conclusions such as "lower temperature is lower entropy". A counterexample for that false conclusion is the adiabatic process, in which the temperature changes but the entropy does not change. Another counterexample is that in the distant past, the universe had a higher average temperature and a lower entropy than today.

The interpretation of increase in entropy as destruction or an increase in disorder is subjective and not always obvious. Instead of thinking that the universe goes into disorder and destruction, we should more accurately think that it transitions from a less probable state to a state with higher probability, and that formulation should not trigger any depressive thoughts or cynicism, independent of what school of philosophy we prefer.

Whereas easy to understand analogies are a useful tool for the popularization of science, we need to be aware that the incurred simplification may mislead us when we draw our own conclusions.

What I wrote about entropy on my wall was not limited to our solar system but referred to the universe as a whole. The development of the universe and the expected future development appear to be contrary to Epicurus' concept that the universe has always been the same and will remain the same.

In its early stages, the universe has been very different from now. Many billion years into the future, it will be very different from now. In between, there are many billion years in which it is about the same, in particular as it appears to us on Earth. Therefore, from a practical perspective for us humans now, Epicurus' concept of a constant universe is reasonably correct unless we are professional astrophysicists.

On this limited time interval (of nevertheless billions of years), the increase in entropy is good to know to understand nature and to develop technology and is no reason to feel depressed.

Epicurus' philosophy helps us to focus on the generations currently alive and the next few generations. It makes sense to put reasonable effort in mitigation of climate change, preservation of biodiversity, sustainable agriculture and industry, avoidance of depletion of limited resources and whatever else helps to make survival not too unpleasant for the next generations. Beyond that reasonable effort, it is up to the future generations to deal with the problems they will face.

Sorry for the confusion about the dates, Cassius. I must have found an older announcement for an earlier year and not noticed it.

Welcome Philliped1!

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I understand that in this sense Epicurus' warns us that investigation of nature is only acceptable to the the point that it augments pleasure, or that ""scientific investigation"" is only a help for ethics, not a goal on its own.

This statement exaggerates what Epicurus wrote.

According to Epicurus, there is no need to investigate nature further than to remove our fears of god, supernatural threats and a painful afterlife. Removing such fears augments pleasure. He does not warn against further investigation. The augmentation of pleasure is for the individual, not the society.

Replacing a tentative belief with knowledge is a pleasure. For scientists like me and R&D engineers, the result of the hedonic calculus regarding our studies is usually to continue, which then is in line with Epicurus' philosophy.

At this point, it is still not clear to me how free will in the sense of agency arises. Further development of AI and comparing the results with living beings may improve the understanding.

Godfrey's comment #16 appears to be somewhat off or misleading.

That the act of measuring affects the thing being measured is related to the uncertainty principle of quantum theory.

We do not know the size of photons and electrons. The smallest feature we can measure is given by the wavelength of the photons, electrons or whatever other probes we use multiplied by a factor. By increasing their energy, the wavelength becomes smaller, and correspondingly, smaller features can be resolved. That is why physicists who work with accelerators keep pushing for higher energies.

Within Epicurean physics, atoms are hard bodies. If they were large and not emitting anything, they would at least be visible as shadows.

Epicurus' concept of bodies emitting films appears to be an inconsistency within his physics and does not match modern physics. I see no convincing analogy there.

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"I wonder if it is possible to figure out that, for example, the sum of an infinite series can be finite purely a priori."

In mathematics, series means the sum of a sequence. Therefore, I assume you mean ".. the sum of an infinite sequence can be finite purely a priori."

There is an easy proof that the infinite geometric series 1 + r + r*r + r*r*r + ... is 1/(1 - r) for r<1. This is finite for all cases r<1. (With r as the ratio of the speed of the tortoise to the speed of Achilles and multiplied by the head start, 1/(1 - r) solves Zeno's paradox. Zeno formulates the paradox such that he arbitrarily limits the consideration to the interval before Achilles reaches the tortoise.)

For r equal to or greater than 1, the sum of the infinite geometric sequence 1, r, r*r, r*r*r + ... is infinite.

Welcome Beasain!

Lucretius must have done extensive studies of Epicurus' philosophy before or while writing the poem to provide so many details and repeatedly addresses Memmius directly to persuade him of Epicurus' philosophy. Therefore, a statement that Lucretius had no links with Epicureanism is not convincing.

Welcome DavidN!

Welcome Root304!

I should still be on the way to Germany on this 18th.

Welcome Onenski!