Deductive reasoning Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.Anti-spam check. Do not fill this in! ==== Hypothetical syllogism ==== {{main|hypothetical syllogism}} A ''hypothetical [[syllogism]]'' is an inference that takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. Here is the general form: # <math>P \rightarrow Q</math> # <math>Q \rightarrow R</math> # Therefore, <math>P \rightarrow R</math>. In there being a subformula in common between the two premises that does not occur in the consequence, this resembles syllogisms in [[term logic]], although it differs in that this subformula is a proposition whereas in Aristotelian logic, this common element is a term and not a proposition. The following is an example of an argument using a hypothetical syllogism: # If there had been a thunderstorm, it would have rained. # If it had rained, things would have gotten wet. # Thus, if there had been a thunderstorm, things would have gotten wet.<ref>{{cite journal |last1=Morreau |first1=Michael |title=The Hypothetical Syllogism |journal=Journal of Philosophical Logic |date=2009 |volume=38 |issue=4 |pages=447β464 |doi=10.1007/s10992-008-9098-y |jstor=40344073 |s2cid=34804481 |url=https://www.jstor.org/stable/40344073 |issn=0022-3611}}</ref> Summary: Please note that all contributions to Christianpedia may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here. You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see Christianpedia:Copyrights for details). Do not submit copyrighted work without permission! Cancel Editing help (opens in new window) Discuss this page