Alexander's centers are deeply connected with monads as mathematical structures.

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• Alexander's 'center' is structurally identical to a temporary, dynamically reinforced locus extended into time and nested scales of agency.claim0.803
• Alexander claims there is a necessary connection between God and architecture that is, in part, empirically verifiable.claim0.775
  Summary of Alexander's position in the 2016 article 'Making the Garden'.
• In Alexander's framework, a center's degree of life is a function of surrounding centers' configurations and their life-degree—a recursive definition.claim0.761
• Lyons-Levin and Alexander describe the same mechanism in different epistemic registers: mathematical vs. phenomenological.claim0.760
• You can only get the profound multiple structure of centers by unfolding each bit from the previous state, allowing the next layer of structure to appear from the previously established layers.claim0.759
  Explains why time and sequence are essential for generated complexity.
• As an architect, Alexander has become convinced that the I is certainly real in buildings and must necessarily play a fundamental role in architecture.claim0.758
  Alexander's personal scientific and professional conclusion stated in the Mid-Book Appendix.
• The centers which exist in a configuration have a real mathematical existence and are actually occurring features of the space itself.claim0.756
  Strengthens the claim that centers are not just psychological but physically real.
• The wholeness and field of centers are not merely cognitive artifacts but are linked to the functional behavior of the natural world and are at the foundation of physics and biology.claim0.755
  Counters the skeptical cognitive interpretation by asserting the objective reality of centers in nature.