The phrase "a special consequence" is correct and usable in written English.
It can be used to refer to a specific outcome or result that is unique or noteworthy in a particular context.
Example: "The new policy had a special consequence that many employees did not anticipate."
Alternatives: "a unique outcome" or "a significant result".
Most students are expelled from school but if your child's enrolment is cancelled this is a special consequences which only applies to students who are older than compulsory school age who are not participating in their education program, for example truanting or not doing work.
The public is surprised, but prior to this surprise, it has seen an absolutely ordinary scene, of no special consequence.
The special consequence condition (SCC), on the other hand, deserves separate and careful consideration.
This is but one sign of how stringent the Special Consequence Condition is.
It satisfies the Special Consequence Condition, thus the Predictive Inference Condition too.
Notably, (Cons) was defended by Hempel (1945) and, in fact, one can show that it follows from the conjunction of (qualitative) Confirmation Complementary and the Special Consequence Condition, and so from both Hempelian and \(F\ -confirmation.
Special consequence condition (SCC) For any \ h, e, k \in \bL\), if \ e\) confirms \(h\) relative to \ k\) and \(h\wedge k \vDash h^*\), then \ e\) confirms \(h^*\) relative to \ k\).
As a consequence, the implication that \(C_{P}(h,e\mid k)\) is positive while \(C_{P}(h^*,e\mid k)\) is not clashes with each of the following, and proves them unduly restrictive: the Special Consequence Condition (SCC), the Predictive Inference Condition (PIC), and the Consistency Condition (Cons).
We would also like to draw attention to the list of special consequence features presented by [ 21] Renn and Klinke (2002) (see also [ 22] Kristensen et.al. 2006).
