Wednesday, February 25, 2015

Are Syllogisms a Missing Part of Common Core?

Some educators have rejected Common Core based on its lack of critical thinking with regards to an argument (see links below). 

Syllogisms help you to find out if an argument you have created for an essay is logical. Understanding them is tough. Seeing examples of them in color coded text reveals that there is a pattern you can set up to come up with a conclusion from two claims.

You can use the following examples to develop a syllogism for your paper.

An example of a syllogism is:
Claim 1:  All mammals are warm-blooded animals.
Claim 2: Warm blooded animals have a constant body temperature.
Mammals
such as whales have a constant body temperature.



Logical Syllogisms
 

Syllogisms check to see if your argument in valid.

Let's take a look at the following logical syllogism:

An example of a syllogism is California is a state;
All states have unique elected governments.
California
has a unique elected government. 


Let's take a look at two claims about fighting ISIS in order to make them a logical syllogism by color-coding the three variables your working with:

Claim 1--The United States has no reason to attack ISIS.
Claim 2--Attacking ISIS is not a solution to defeating them.
Conclusion--The United States does not have a solution to defeating ISIS.

Now, note that here there is a pattern (color coded) that shows it's easy to figure out a conclusion to a syllogism, after which one should check to see if it makes sense, that is isn't a fallacy.

 
While the above conclusion is effective (doesn't contain any fallacy) in that it addresses the problem, it does not offer any solutions.

In this case, one had to name not only the available solutions that have been made public, but also the feedback about them by other experts.




Illogical Syllogisms

Let's take a look at the following claims for an argument about public school access in rural areas in order to make them a logical syllogism by color-coding the three variables your working with:

Claim 1--Struggling to get to school is a problem for students in rural areas.  
Claim 2- Alpine County,  California is a designated rural area (Rural California, n.d.).
Conclusion--Struggling to get to school is a problem in a designated rural area.

The above syllogism might not be valid. You would have to research several designated rural areas to see if they any of the students live near the school.

If some students in Alpine County and other rural counties in the U.S. do live near a school, you have to change the wording of the syllogism. Consider what word would one have to add to the first claim to show that it's not an absolute statement (applicable to everyone)?

Rural California. (n.d.) Retrieved from
http://ruralhealth.stanford.edu/health-pros/factsheets/downloads/rural_fact_sheet_1.pdf


Two articles one might find of interest regarding syllogisms and Common Core are: