Does Infinity point to God ?
  • Alternatively, does the non-attainability of an actualized infinity point to God?

Abstract
  • The Kalaam argument states that it is impossible to count to infinity. Similarly it is impossible for any physical object to have existed for ever. Therefore all physical objects (including our universe) are not eternal. This means they did not always exist. And therefore it is rational to posit an external cause that brought the physical universe into existence.

  • Using the rational principle of adequate cause, we find it reasonable and rational to infer then that a non-physical (i.e., supernatural) cause exists for the physical universe, and indeed ultimately as a prime cause for all physical objects of any kind.

  • The Christian God is such a supernatural cause.

Examining the logic
Consider the following chain of logic.
  1. It is impossible to generate an Actualized Infinity by successive Enumeration (i.e., by counting one by one in a successive manner).
    1. This is demonstrable by the Kalaam argument (which we have discussed elsewhere).

  2. A ray is an imaginary mathematical construct (which is why it can "extend to infinity in one direction"). However it is impossible to Physically actualize an infinite Ray, by successive Enumeration (i.e., by the sequential addition of small finite lengths of line).
    1. This is demonstrable by the Kalaam argument (applied to this case).

  3. Notice that Actualized Infinities (actualized in physical reality) are impossible (as above). I.e., the Kalaam argument can be shown to apply to any proposed physically Actualized infinity that is to be actualized by sequential enumeration.
    1. When a mathematician says that an Actual Infinity is possible he means that the entire infinite set is just imagined to be "created out of nothing as a whole" (i.e., the mathematician "begs the question" of having to physically actualize or physically create the set by enumeration; or alternatively phrased, "an infinite set can not be Actualized by a process of successive enumeration".)

    With this background, let us now evaluate the application of ICR (infinite causal regression) to the universe ...

  4. This may come as a surprise to some individuals (joke), but the universe is indeed physically actualized (i.e., it is not an imaginary entity -- unlike the infinite line, or the conceptualized infinite set, or a Ray or a half-ray or the mythical multiverse).
    1. For any process to occur in an universe, there has to be a physical "time" or "time analog" (without such an analog, we would have an "eternally frozen universe where no change occurs, and no process occurs").
    2. For a universe to "cause" another universe, it has to have some process (it can not be frozen; if it is frozen, it can not act to "cause" anything). Therefore it has to have a physically* actualized "time dimension" (or a time-analog dimension). (Note: physically* -- in the space-time-manifold sense)
    3. Each individual universe is not eternal (in the case of infinite-causal-regression). Or alternatively, each individual cause is not eternal. In other words, each universe (or each cause) is of finite "time" or "time-analog" duration.

  5. Based on the reasoning above, attempting to add a series of finite causes (or finite time-duration universes) to cause a Physically actualized infinite-duration universe -- is the same as trying to draw a physically actualized infinite line, by sequentially adding segments of line.
    1. However we have seen in items 1,1a,2,2a above that this is impossible.
    2. Therefore item 5 is impossible.

  6. Therefore a Physically actualized ICR (infinite-causal-regress) is impossible.
    1. Therefore it appears reasonable and rational to infer that attempts to avoid the Kalaam "inference to God" (by claiming "physically actualized ICR") are ultimately irrational.
    2. And it appears reasonable and rational to infer that attempts to avoid the Kalaam "inference to God" (by claiming physically actualized time-infinite universes using QM tunneling, time-infinite bounce universe, multiverses of any kind) are ultimately irrational.

Summary
  • The Kalaam argument states that it is impossible to count to infinity. Similarly it is impossible for any physical object to have existed for ever. Therefore all physical objects (including our universe) are not eternal. This means they did not always exist. And therefore it is rational to posit an external cause that brought the physical universe into existence.

  • Using the rational principle of adequate cause, we find it reasonable and rational to infer then that a non-physical (i.e., supernatural) cause exists for the physical universe, and indeed ultimately as a prime cause for all physical objects of any kind.

  • The Christian God is such a supernatural cause.

Wishing you Peace and Joy through Jesus Christ.
(c) John Mark Theophilus, 1995-2004, 2005.