Potential infinite models and ontologically neutral logic
Journal of Philosophical Logic 30 (1):79-96 (2001)
| Abstract | The paper begins with a more carefully stated version of ontologically neutral (ON) logic, originally introduced in (Hailperin, 1997). A non-infinitistic semantics which includes a definition of potential infinite validity follows. It is shown, without appeal to the actual infinite, that this notion provides a necessary and sufficient condition for provability in ON logic. | |||||||||
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