A Brief Outline of Ibn Sina's Conception of Number
Ibn Sı̄nā (980-1037), one of the influential philosopher-scientists of the classical Arabic-Islamic tradition who was known to the West by the Latinised name Avicenna, has introduced a major shift in the philosophy of mathematics that is neither Platonist nor Aristotelian, his conception of number is constructed in 5 stages:
1. The recognition that mathematical entities are intentional objects and that this amounts to provide an intentional notion of existence;
2. The specific act of repetition inferred from apprehending unity;
3. The generation of numbers:
3.1. Generation of number two as first element;
3.2. Generation of infinity by an epistemic agent.