From an intuitionistic perspective, to claim that some mathematical proposition, P, is true is to claim that there is a proof of P, that is, that 'we' have access to a proof of P. It is the task of the mathematician to construct such proofs. To claim that the negation of P is true is to claim there is a proof that it is impossible to prove P. Of course, there is no guarantee that, for any arbitrary mathematical proposition, we will have either a proof of that proposition or a proof that no proof is possible. From the perspective of platonism, whether or not we have a proof, we know that P must be either true or false: mathematical reality guarantees that it has one of these two truth-values. From an intuitionist perspective, we have no such guarantee.
JoJo Tabares holds a degree in Speech Communication, but it is her humorous approach to communication skills which has made her a highly sought-after Christian speaker and writer. Her articles appear in homeschool publications, such as Homeschool Enrichment Magazine and The Old Schoolhouse Magazine, which also endorses her Say What You Mean curricula. You can also find JoJo on web sites such as and . For more information on communication FUNdamentals and Christian-based communication skills for the whole family, please visit http://
Katie is a licensed, credentialed and certified pediatric speech-language pathologist and mom to four (8, 6, 3 and 6 months). Her passion for educating, inspiring and empowering parents of children with all abilities led her to start her blog playing with words 365 where she shares information about speech & language development & intervention strategies, parenting, photography and a little about her family life too. Katie has been working in the field of speech pathology for 12 years and is certified in The Hanen Centre’s It Takes Two to Talk ® and Target Word ® programs and holds a certificate in Applied Behavior Analysis (ABA). In addition to blogging and being a mommy, Katie works part time in her small private practice in the San Francisco Bay Area. You can follow her on Facebook , Pinterest and Twitter .