1. Setup: A Brief Exposition of Craig's Kalam Cosmological Argument
2. First Philosophical Argument: The Impossibility of Actual Infinites
2.1 Version 1: Parts as large as the whole
2.2 Version 2: Adding without making larger
2.3 Version 3: Making Room in a Fully-Occupied Region Without Removing Elements; Filling Up a Region Without Adding Elements
2.4 Version 4: Subtracting the Same Amount Yields Contradictory Results
2.5 Version 5: More Objects than Natural Numbers
2.6 Version 6: Craig’s Diagnostic Argument
3. Second Philosophical Argument: The Impossibility of Traversing an Actual Infinite by Successive Addition
The position is a permanent post (equivalent to Associate Professor in the US). Details here . H/T: Yujin Nagasawa
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