Chapter Nine: This chapter contains a presentation of first order logic with identity. We introduce the special 2-place predicate constant "I" (for identity) along with its semantics and rules for its use in derivations. Also we will begin the study of complex names, also known as "functions". (But, really, they won't be a problem for you if you've gotten this far!) The chapter concludes with a simple example from abstract algebra. Also, more mundanely, symbolization exercises allow more sophisticated quantification. For example, with identity one may symbolize, "there are exactly two green marbles" rather than just "there is at least one green marble". Start with the introductory tutorials presented below, then print out the reference manual for this chapter (that way you'll have a concise statement of this chapter's details to refer to even when away from the computer.) Finally, and most importantly, carefully work your way through the chapter exercises. Tutorials for Chapter Nine
9.1ex
I Multiple Choice 9.2ex
I Derivations in PDI 9.3ex I Multiple Choice 9.4ex I Group Theory Proofs Chapter 9: Statement of the exercises. |