Sorites-Heaps of Propositions

A typical proposition in reduced form consists of two premises and a conclusion. However, generally a person speaks to us in volumes and we have to infer the meaning from the heaps of propositions in the conversation. There are two ways of deriving the inference. One is the Aristotelian Sorites and the other is Goclenian Sorites. They can be explained as follows:

Aristotelian Sorites:

All A is B = Good people are kind

All B is C= Kind people are compassionate

All C is D= Compassionate people are helpful

All D is E=Helpful people are strong

Therefore, All A is E =All Good people are strong

Goclenian Sorites:

All D is E= Good people are kind

All C is D= Compassionate people are good

All B is C= Helpful people are compassionate

All A is B= Strong people are helpful

Therefore, All A is E= Strong people are kind

 

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