1. In order for syllogisms to affirm or deny, the subject must be absolute...they depend entirely upon categories to make distinct the relationship between the two terms.

2. One area of where Barr highlights a difference is on pgs 2-3. Here he points out that a topologist is interested in the "most permanent" properties of a thing. The properties that geometry is interested in are relative...contingent rather than permanent qualities. Ex: A straight line is must lies evenly with the points on itself.

3. The concept phase, or the entire area of architecture that happens before form-making can be carried out without the use of geometry.