2. what matters is not just whether a proposition is true, but how it is true
3. time and space can't commute without structure
Most recently was announcing the return of ~7 Ukrainian kids the same day the "Ukrainian kids are sent to NK" news broke
Most recently was announcing the return of ~7 Ukrainian kids the same day the "Ukrainian kids are sent to NK" news broke
The observable is functorial: A_{g∘f} = A_g⋅A_f.
Many distinct internal configurations produce identical external behavior. This "gauge freedom" is parameterized by GL(r) and preserves all observable structure.
The observable is functorial: A_{g∘f} = A_g⋅A_f.
Many distinct internal configurations produce identical external behavior. This "gauge freedom" is parameterized by GL(r) and preserves all observable structure.