Posts tagged ‘math’

August 10th, 2015

My E-Books: From Molinism to Existentialism

by Max Andrews


I have gathered my four e-books that I’ve published through Amazon in one convenient spot. Although it would be advantageous to set up a proper author’s page with Amazon but I have yet to do that and simply searching ‘Max Andrews’ isn’t sufficient for finding all the literature (unless you type in another keyword or the title).

If you haven’t already, please share and/or buy these books that you or a friend or a family member may be interested in. The profits go towards keeping this site up and running.

  • Screen Shot 2014-08-07 at 11.45.38 PMAn Introduction to Molinism: Scripture, Reason, and All that God has Ordered (The Spread of Molinism Book 1)
    • The task of a Molinist perspective of middle knowledge is to remove the perceived dilemma between human freedom and divine foreknowledge. Middle knowledge is the second logical moment of God’s omniscience. There are three logical moments, the first being natural knowledge. With natural knowledge God knows everything that could logically happen. The third moment is God’s free knowledge; God knows all true propositions of the actual world. Middle knowledge lies logically in between these, which affirms that God knows all true counterfactual propositions, or possess hypothetical knowledge of future contingents. The following is an attempt to provide reasonable grounds for affirming divine middle knowledge.

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August 31st, 2014

The Likelihood Principle of Confirmation

by Max Andrews

Whenever we are considering two competing hypotheses, an observation counts as evidence in favor of the hypothesis under which the observation has the highest probability.

The Likelihood Principle of Confirmation theory states as follows.  Let h1 and h2 be two be competing hypothesis (in this case the existence of X and ~X, with X being a first cause, fine-tuner, a particle, etc.).  According to the Likelihood Principle, an observation e counts as evidence in favor of hypothesis h1 over h2 if the observation is more probable under h1 than h2.  Thus, e counts in favor of h1 over h2 if P(e|h1) > P(e|h2), where P(e|h1) and P(e|h2) depict a conditional probability of e on h1 and h2, respectively.  The degree to which the evidence counts in favor of one hypothesis over another is proportional to the degree to which e is more probable under h1 than h2: particularly, it is proportional to P(e|h1)/P(e|h2) .  The Likelihood Principle seems to be sound under all interpretations of probability.  This form is concerned with epistemic probability.

May 3rd, 2014

Philosophical Fragments Botches the Multiverse

by Max Andrews

Philosophical Fragments is a blog with Patheos and there was a guest post (don’t hold it against he actual blog owner, it’s a guest) named Mark Goldblatt (I’m not certain that’s the author but notice his employer and notice what he’s writing on… I’m just saying…) titled “Bad Epistemology.” Let me begin by telling you what I really think… I think this post is full of bad science, bad philosophy, bad semantics, quibbling over spilled milk, and botches the multiverse is an embarrassingly bad way. Aaaand, yes, there are some good things and I won’t forget to highlight them either.

If you want to argue against the multiverse [or quantum issues], fine, but do so in an informed and more educated manner than this.

Goldblatt begins his epic rant by discussing contemporary science’s search and desire to discover the truth about the cosmos and the origin of life. Quoting Neil deGrasse Tyson from the reinstatement of Cosmos:

“If you take the universe all the way back to the Big Bang, well, the entire universe was really small. So now you take the shotgun wedding – quantum physics and general relativity. In that shotgun wedding, if you follow through with all the predictions quantum physics gives you, it allows multiple bubbles to form – one of which is our universe. These are sorts of fluctuations in the quantum foam. Quantum physics fluctuates all the time. But now the fluctuations are not just particles coming into and out of existence, which happens all the time. It’s whole universes coming into and out of existence.”

November 17th, 2013

What Are the Odds?

by Max Andrews

The odds against an event is a ratio of the probability that the event will fail to occur (failure) to the probability that the event will occur (success).

Screen Shot 2013-11-17 at 1.55.02 AM

Most of the time you hear about “odds”, they are referring to the odds against. 

July 17th, 2013

Appealing to ‘Chance’ is Still Consistent with Design or Fine-Tuning

by Max Andrews

The non-fine-tuning hypothesis, non-design, or even, dare I say, Darwinism have several different forms but, broadly speaking, is anything other than fine-tuning (or the design hypothesis).  There are three primary non-fine-tuning (non-design) versions: chance, necessity, and chance and necessity.  Each one has different explanatory strengths and weaknesses.

June 9th, 2013

The Philosophy of Science Directory

by Max Andrews

This is a compilation of posts, which focus on the philosophy of science. These posts will cover a broad spectrum within the philosophy of science ranging from multiverse scenarios, scientific theory, epistemology, and metaphysics.

  1. MA Philosophy Thesis: “The Fine-Tuning of Nomic Behavior in Multiverse Scenarios”
  2. Natural Law and Scientific Explanation
  3. Science and Efficient Causation
  4. Which Comes First, Philosophy or Science?
  5. The Postulates of Special Relativity
  6. There’s No Such Thing as Creation Science–There’s Just Science
  7. Time Travel and Bilking Arguments
  8. “It’s Just a Theory”–What’s a Scientific Theory?
  9. Exceptions to a Finite Universe
  10. Teleology in Science
  11. Duhemian Science
  12. The Relationship Between Philosophy and Science
  13. The History of the Multiverse and the Philosophy of Science
  14. Where’s the Line of Demarcation Between Science and Pseudoscience?
  15. Miracles and the Modern Worldview
  16. Mass-Density Link Simpliciter
  17. Scientific Nihilism
  18. Q&A 10: The Problem of Defining Science
  19. Q&A 6: Scientism and Inference to the Best Explanation
  20. The Quantum Universe and the Universal Wave Function
  21. The History and Macro-Ontology of the Many Worlds Interpretation of Quantum Physics
    read more »

May 14th, 2013

Infinity + 1 = ?

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.  

April 27th, 2013

Lorentzian Transformations

by Max Andrews

The fundamental question raised by these postulates of special relativity is how different coordinate systems (reference frames) are related, i.e., how one transforms between them. (x, y, z, t) denotes the coordinates of some event in frame S, what are the coordinates (x’, y’, z’, t’) in the frame S’ moving at the velocity v relative to S? But first, a clarification on proper time and coordinate time:

Proper time is time measured between events by use of a single clock, where these events occur at the same place as the clock.  It depends not only on the events but also on the motion of the clock between the events.  An accelerated clock will measure a shorter proper  time between two events than a non-accelerated (inertial) clock between the same events.

December 10th, 2012

Q&A 1: Kalam and The Flying Spaghetti Monster

by Max Andrews

Hey Max,

I guess since I requested the Q&A section, I’ll start it off!

I recently had a conversation with an atheist in which I walked him through the Kalam Cosmological Argument. This inevitably led into a conversation about what criteria a “first cause” must meet. It was difficult for me to explain, and for him to understand how God exists as a necessary being, or out of His own nature.

The atheist resorted to a version of  “Flying Spaghetti Monster” argumentation, in which he said, “How do we know that the first cause wasn’t a giant pink unicorn, or that two universes didn’t just mate and form ours?”. For obvious reasons, his argument is absurd. But what’s the best way to explain the concept of the first cause, and why it couldn’t be a “giant pink unicorn”?

Thanks a lot,

Richie Worrell (USA)


I’m always amazed at some of the philosophical lunacy some atheists come up with. The mockery of using phrases like “flying spaghetti monster” or a “giant pink unicorn” weren’t originally developed in response to the kalam. They were developed in response to intelligent design suggesting the designer could be a spaghetti monster. I recall Dawkins using it several times and it has gained popularity in response to the ontological argument.

Nonetheless, let’s accept his flying pasta, pink unicorn, and sexual universes for the sake of discussion. Let’s recap the the kalam argument:

  1. Whatever begins to exist has a cause of its existence.
  2. The universe began to exist.
  3. Therefore, the universe has a cause of its existence.
    read more »

October 8th, 2012

The Multiverse and Causal Abstract Objects

by Max Andrews

When considered in the range possible explanans for the origin of information in the universe/multiverse the options must meet the conditions of causal efficacy and specificity. The first condition states that origin of information must be causal. Information does not arbitrarily pop in and out of existence but requires a source. The second condition states that the origin must sufficiently explain the specificity in information and must provide more than mere Shannon information.

Consider a computer as an example for information relay (a phenomenal entity). The computer is and can be used as a channel, it can be a receiver, and it can be a source of information. However, to say that the information in the computer no longer needs an explanation for its origin would suffer the problem of information displacement. What begs the question is from where did the information in the computer come? The answer would inevitably become a software engineer or a programmer. Undirected material processes have not demonstrated the capacity to generate significant amounts of specified information. Information can be changed via materialistic means. The computer can change the initial coding from the programmer and introduce noise on the sending and receiving ends.