May 14th, 2013
by Max Andrews
When we think of infinity we usually think of the usual two categorical distinctions: a potential infinite and an actual infinite. A potential infinite suggests that infinity is only an idea or a concept but doesn’t actually exist in the Platonic sense or in the physical sense. In any set, one may always be added. An actual infinite is the notion that there exists such a set, Platonic or physical, whichis infinite. A potential infinity may be symbolized by a lemniscate: ∞. An actual infinite can be depicted by the aleph-null or aleph-nought: ℵ0 (The Hebrew letter aleph with a subscript zero).
First, let’s have a brief refresher on set theory. A set is any collection of things or numbers that belong to a well-defined category. In a set notation, this would be written as {2, 3, 5, 7, 11} being the first five prime numbers, which is a finite set of things. Let’s simply signify this set as S. There is a proper subset (SS) of S. There are members in S that are not in SS, but no member of SS that is not in S.
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Posted in Logic, Mathematics, Metaphysics | No Comments »
April 6th, 2013
by Max Andrews
The fine-tuning argument argues that when physics and the laws of nature are expressed mathematically their values are ever so balanced in a way that permits the existence of life. I’m merely arguing that the universe is finely tuned for the essential building blocks and environments that life requires.
- Given the fine-tuning evidence, a life permitting universe (LPU) is very, very unlikely under the non-existence of a fine-tuner (~FT): that is, P(LPU|~FT & k) ≪ 1.
- Given the fine-tuning evidence, LPU is not unlikely under FT (Fine-Tuner): that is, ~P(LPU|FT & k) ≪ 1.
- Therefore, LPU strongly supports FT over ~FT.[1]
Defense of 1: Given the fine-tuning evidence, a life-permitting universe is very, very unlikely under the non-existence of a fine-tuner.
So what are some of the evidences for fine-tuning?
- Roger Penrose calculates that the odds of the special low entropy condition having come about by chance in the absence of any constraining principles is at least as small as about one in 1010^123.[2]
- Strong Nuclear Force (Strong nuclear force coupling constant, gs = 15)
- +, No hydrogen, an essential element of life
- -, Only hydrogen
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Posted in Apologetics, Arguments for the Existence of God | No Comments »
March 11th, 2013
by Max Andrews
Question:
Hey, Max.
I’ve just started reading Rupert Sheldrake’s The Science Delusion: Freeing The Spirit Of Enquiry and came across three questions about the laws of nature.
In Chapter 3, Sheldrake begins by saying:
“Most scientists take it for granted that the laws of nature are fixed.”
He then leads on to this question:
“If everything else evolves, why don’t the laws of nature evolve along with nature?”
The argument that he advances in the chapter involves something he calls ‘habits’, which are “a kind of memory inherent in nature”. (From what I understand, he has also advanced this within a theory of ‘morphic resonance’ in his other published works.) Putting aside his case for these ‘habits’, three questions that he poses to materialists at the end of the chapter caught my eye:
1) If the laws of nature existed before the Big Bang, and governed the Big Bang from its first instant, where were they?
2) If the laws and constants of nature all came into being at the moment of the Big Bang, how does the universe remember them? Where are they ‘imprinted’?
3) How do you know that the laws of nature are fixed and not evolutionary?
Although I can hear the materialists cry that these questions are not even wrong, I wondered what you thought about them.
Best Wishes,
Posted in Cosmology, Philosophy of Science | No Comments »
January 19th, 2013
by Max Andrews
The multiverse hypothesis is the leading alternative to the competing fine-tuning hypothesis. The multiverse dispels many aspects of the fine-tuning argument by suggesting that there are different initial conditions in each universe, varying constants of physics, and the laws of nature lose their known arbitrary values; thus, making the previous single-universe argument from fine-tuning incredibly weak. There are four options for why a fine-tuning is either unnecessary to invoke or illusory if the multiverse hypothesis is used as an alternative explanans. Fine-tuning might be (1) illusory if life could adapt to very different conditions or if values of constants could compensate each other. Additionally, (2) it might be a result of chance or (3) it might be nonexistent because nature could not have been otherwise. With hopes of discovering a fundamental theory of everything all states of affairs in nature may perhaps be tautologous. Finally, (4) it may be a product of cosmic Darwinism, or cosmic natural selection, making the measured values quite likely within a multiverse of many different values. In this paper I contend that multiverse scenarios are insufficient in accounting for the fine-tuning of the laws of nature and that physicists and cosmologists must either accept it as a metaphysical brute fact or seriously entertain the hypothesis of a fine-tuner.
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Posted in Metaphysics, Multiverse, Philosophy of Science | 6 Comments »
May 10th, 2012
by Max Andrews
The anthropic principle takes two primary forms: the weak (WAP) and the strong (SAP). The WAP is a reflective and happenstantial inquiry: The observed values of all physical and cosmological quantities are not equally probable but they take on values restricted by the requirement that there exist sites where carbon-based life can evolve and by the requirement that the universe be old enough for it to have already done so.[1] The SAP is much more problematic: rather than considering just one universe we envisage an ensemble of possible universes—among which the fundamental constants of nature vary. Sentient beings must find themselves to be located in a universe where the constants of nature (in addition to the spatiotemporal location) are congenial.[2]
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Posted in Philosophy, Science | No Comments »