1. Explicable-Implicit:
Can it be, in principle, formulated as a set of propositions?
Yes No
Has it been openly formulated by the agent?
Explicable-Implicit:
Propositional knowledge that hasn’t been openly formulated by the agent.
Explicit:
Propositional knowledge that has been openly formulated by the agent.
Inexplicable:
Non-propositional knowledge, i.e. knowledge that cannot, even in principle, be formulated as a set of propositions.
Explicit
Tacit/Implicit
Propositional
Non-Propositional

2. Astronomical data is acceptable only if it is obtained in naked-eye observations.

3. Astronomical data obtained by a telescope is acceptable.

4. Telescopes make distant objects appear larger and closer.
Theory
Method
Telescopes make distant objects appear larger and closer.
Astronomical data obtained by
a telescope is acceptable.
Accepted technological knowledge…
… affects our criteria of acceptance of scientific data.

5. A cancer treatment can be effective only if it takes into account the non-local nature of the disease and treats not only the tumor itself but also the surrounding tissue/organ.

6. Accepted scientific theories…
Theory
Method
Cancer is a non-local disease that affects the whole surrounding tissue, organ, or perhaps even the whole body.
A cancer treatment can be effective only if it takes into account the non-local nature of the disease and treats not only the tumor itself but also the surrounding tissue/organ.
Accepted scientific theories…
… shapes the method employed in evaluating technological theories.