1. This position is in contrast to the Platonist viewpoint, which views mathematics as a unified body of knowledge with an ontological certainty and an infallible underlying structure.

2. The Platonist may become aware of realizations of his ideas and concepts.

3. In this passage, Berger has simply assumed that the platonist position has prevailed.

4. I have pointed out two opposing schools of mathematical philosophy, siding strongly with the Platonist rather than the formalist view.

5. When it comes to the detail of everyday life most of us just muddle through somehow, but Dennis was a Platonist.

6. The tendency of primary teachers' view of mathematics in sequence from high to low is: the Platonist, the problem solving, and the instrumentalist view.

7. For instance the sharp - witted men and Demetrius the Platonist and Eudaemon, and anyelse like them.