You may use this template to help organize your thoughts about the final paper.

You may use this template to help organize your thoughts about the final paper. This
outline should be submitted to the instructor during Module Two for feedback. See the
examples and notes provided below for each section of the paper.
Title: Infinity: The Continuum Hypothesis
The title should be brief but explain to the reader the focus of the paper.
Introduction
This section should summarize the three strands of the paper and what the reader can
expect to learn in this paper. This should be 1–2 paragraphs in length and written after
the final paper is composed.
Strand 1: The History of [Your Topic]
 Aristotle (actual and potential infinity)
 Georg Cantor
 One-to-one correspondence
 Continuum hypothesis
 Kurt Gödel
 Paul Cohen
This section should focus on the historical evolution of the chosen topic. Bulleted
items may include the most significant aspects of the history of the topic. Each of
these may be expanded upon in the Strand 1 paper.
The history of the selected topic should be chronological and focus on the most
important aspects of the topics development. It does not need include every
contribution.
Strand 2: The Mathematics of [Your Topic]
 One-to-one correspondence
 Cardinality of infinite sets
 Subsets
 Proving or disproving the CH
This section should focus on the mathematical aspects of the topic. Bulleted items
may include important formulas, interpretations of proofs, and/or consideration of
arguments made by mathematicians. Each of these may be expanded upon in the
Strand 2 paper.
The mathematics of the selected topic should first explain any sub-concepts. In this
case it is necessary to first discuss cardinality and one-to-one correspondence. Be
specific and clear. It may be necessary to use proper mathematical symbols,
equations, or formulas in this section to supplement the explanation. Write this
section as though the reader does not know about the topic, explaining the topic in
detail with supporting evidence.
Part 3: The Real-World Applications of [Your Topic]
 Fractals
 Infinity is highly abstract
 May only be conceivable in your mind
 No true real-world examples exist
 Examples that are used require a certain abstraction
This section should focus on the real-world applications of the chosen topic. Bulleted
items may include usages or examples of where the concept is seen. Each of these
may be expanded upon in the Strand 3 paper.
Conclusion
In this section, summarize findings. What was interesting? What was unexpected?
What did you learn from this research?
References
References should be listed on a separate page, using proper APA formatting.
A variety of sources is encouraged. Use the sources within papers and textbooks as
leads for new reading material. Consider textbooks, articles, journals, YouTube videos,
websites, etc.
The final project for this course is the creation of a comprehensive final paper that includes the following main components:
Introduction
Strand 1: Historical Significance
Strand 2: Mathematics
Strand 3: Real-World Applications
Conclusion
Prompt
In Module Two, you will submit your chosen topic to the instructor for approval. You will research three areas of this topic and submit an outline for each “strand” for grading and feedback. Your submission should include potential reference sources. Take note that this milestone rubric requires three resources for your outline at this point in time so that you can receive valuable feedback from your instructor. However, additional research and resources are expected as you complete your paper.
Your topic selection and outline must be submitted as a 1- to 2-page Microsoft Word document with double spacing, 12-point Times New Roman font, one-inch margins, and at least three sources cited in APA format.
Your total points will be based on the rubric below. Your instructor will provide you full points on each row of the requirements listed below that you submit. You will receive instructor feedback in the comment column of the integrated rubric on areas that need work and feedback on areas where you are exceeding standards.
Milestone One Final Topic Selection Rubric
Criteria Proficient (100%) Not Evident (0%) Value
Topic Selection Selects a topic from the provided list or a viable self-selected topic Does not select a topic from the provided list or a viable self-selected topic 20
Strand #1: Historical Significance Outline contains at least three main points for the historical significance strand Outline does not contain at least three main points for the historical significance strand 20
Strand #2: Mathematics Outline contains at least three main points for the mathematics strand Outline does not contain at least three main points for the mathematics strand 20
Strand #3: Real-World Applications Outline contains at least three main points for the real-world applications strand Outline does not contain at least three main points for the real-world applications strand 20
References for Outline Provides at least three credible resources to support the selected topic Does not provide at least three credible resources to support the selected topic 20
Total: 100%