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PIRIE, MADSEN (2006)(2015) How To Win Every Argument, Bloomsbury, London.
Unaccepted enthymemes
An enthymeme argument is one where a stage of it is accepted by both parties. (203) A fallacy can occur when this stage is not accepted within an argument. (203).
One makes a general statement and makes it known his/her specific case falls under that general rule. (204-205).
Based on Pirie (205):
I am late. The traffic was horrible.
(My house is next door and I walked here. The walking traffic was just fine. The second premise does not support the first.)
Frank just died of cancer. God does not exist.
(God's existence is not based on the circumstances of human beings. In this present realm, all human beings eventually die. This is supported by Genesis 1-3, the Hebrew Bible and New Testament. The second premise does not support the first.)
One could state, fallaciously:
All human beings die. God does not exist.