I haven't actually seen any prominent defender of ANY cosmological argument use the following premises:
1) Everything has to have a beginning
2) Everything that exists has to have a cause.
The premise "Everything that happens, occurs or changes has to have a cause" is different from 2) above. "Change" and "exist" are different categories of being in the traditional arguments IIRC.
Attacking arguments based on these faulty premises seems like straw men to me.
The Principle of Causality has been traditionally defended as follows:
A) The existent being to which existence is not essential exists in virtue of some action external to it. (Mercier, p540):
B) A being whose essence is not its existence necessarily demands for the explanation of its existence a cause which brought it into existence. Or The existence of a contingent being demands a cause. (Mercier, p375)
C) Whatever happens has a cause ; Whatever begins to be has a cause ; Whatever is contingent has a cause ; Nothing occurs without a cause. (Coffey. Ontology, theory of being ,p369)
D) Cause and effect being correlative, to say that "Every effect has a cause" is to state a truism. The principle is usually stated thus : "Whatever happens (occurs, takes place, begins to be) has a cause";. The axiom Ex nihilo nihil fit is a negative statement of the same principle. And another statement of it, "Whatever is contingent (i.e. whatever does not contain in itself, in its own essence, the sufficient reason of its actual existence) has a cause" shows the connexion of the principle of causality with the principle of sufficient reason. Being that is necessary and self-existent has no cause. It is itself the reason of its own existence; whereas all contingent being is caused. The principle of causality is evidently a necessary principle in regard to contingent being, i.e. it is essentially involved in our very concept of contingent being. Nothing can happen without a cause: whatever happens has necessarily a cause, i.e. something which brings it about, which makes it happen, whether this cause be free (i.e. self-determining) or not, in its mode of action. (Coffey, Science of logic II, p61)
E) Every thing must have a sufficient reason why it is rather than is not, and why it is thus rather than otherwise : The only sufficient reason for a real change is efficient causality : Therefore every real change has an efficient cause (Rickaby, General metaphysics, p319).
F) Axioms such as the principle of Causality that “Whatever comes into being must have a cause”, and the principle of Contradiction that “It is impossible for a thing both to be and not to be at the same time”, together with all the truths of Mathematics possess this higher degree of necessity. (Joyce, p238).
G) Another way of saying it is “nothing can be reduced from potentiality except by something in a state of actuality” (Feser, Aquinas, 2009, p65 from the Summa Theologica I.2,3).
See references here.
1) Everything has to have a beginning
2) Everything that exists has to have a cause.
The premise "Everything that happens, occurs or changes has to have a cause" is different from 2) above. "Change" and "exist" are different categories of being in the traditional arguments IIRC.
Attacking arguments based on these faulty premises seems like straw men to me.
The Principle of Causality has been traditionally defended as follows:
A) The existent being to which existence is not essential exists in virtue of some action external to it. (Mercier, p540):
B) A being whose essence is not its existence necessarily demands for the explanation of its existence a cause which brought it into existence. Or The existence of a contingent being demands a cause. (Mercier, p375)
C) Whatever happens has a cause ; Whatever begins to be has a cause ; Whatever is contingent has a cause ; Nothing occurs without a cause. (Coffey. Ontology, theory of being ,p369)
D) Cause and effect being correlative, to say that "Every effect has a cause" is to state a truism. The principle is usually stated thus : "Whatever happens (occurs, takes place, begins to be) has a cause";. The axiom Ex nihilo nihil fit is a negative statement of the same principle. And another statement of it, "Whatever is contingent (i.e. whatever does not contain in itself, in its own essence, the sufficient reason of its actual existence) has a cause" shows the connexion of the principle of causality with the principle of sufficient reason. Being that is necessary and self-existent has no cause. It is itself the reason of its own existence; whereas all contingent being is caused. The principle of causality is evidently a necessary principle in regard to contingent being, i.e. it is essentially involved in our very concept of contingent being. Nothing can happen without a cause: whatever happens has necessarily a cause, i.e. something which brings it about, which makes it happen, whether this cause be free (i.e. self-determining) or not, in its mode of action. (Coffey, Science of logic II, p61)
E) Every thing must have a sufficient reason why it is rather than is not, and why it is thus rather than otherwise : The only sufficient reason for a real change is efficient causality : Therefore every real change has an efficient cause (Rickaby, General metaphysics, p319).
F) Axioms such as the principle of Causality that “Whatever comes into being must have a cause”, and the principle of Contradiction that “It is impossible for a thing both to be and not to be at the same time”, together with all the truths of Mathematics possess this higher degree of necessity. (Joyce, p238).
G) Another way of saying it is “nothing can be reduced from potentiality except by something in a state of actuality” (Feser, Aquinas, 2009, p65 from the Summa Theologica I.2,3).
See references here.
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