If you mean by a cause something that contributes to the occurrence of an event, then the statement "every event has a cause" does NOT entail determinism. This is why I object strongly to the textbook's definition of determinism, when the text says that if every event has a cause, then determinism is true. Now you can define a cause as a guarantor of a subsequent event, and if you do that, you can go from universal causation to determinism. But only if you do that.
This is the textbook, if anyone is interested.
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I think determinism, at least the kind of determinism relevant to free will debates, is more specifically the thesis that all human actions are causally determined by external events.
This helps control the debate for variables such as theological determinism (atemporal causal conditions) and physical determinism (antecedent conditions), and does not change because of indeterminacy at quantum levels.
If indeterminism is true, then at least for some human actions, they are caused by the human without being determined by external events. But it remains that those actions are caused.
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I am just amused by your concepts of defining determinism but it is something that relates to your point. I remember when last year I had plans to buy Ph.D. thesis for English Language that was the time when I shared my thoughts related to determinism meaning with the thesis writer. Mr. Paul was a very intelligent writer and trust me, he explained that all actions are a cause of a Will that is stronger than ours. And that is the Will of the God. I loved what he had there to share with me.
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