Reviewer Day One PDF

Summary

This document covers various philosophical perspectives on the nature of the self, from Aristotle to Immanuel Kant. It also introduces common mathematical patterns, such as symmetry and fractals found in nature.

Full Transcript

Understanding self Aristotle: Aristotle, an ancient Greek philosopher, believed that the self is a combination of body and soul, inseparable entities working together. According to Aristotle, when Toby dances, his physical movements express not just his skills but also his emotions and passion, sho...

Understanding self Aristotle: Aristotle, an ancient Greek philosopher, believed that the self is a combination of body and soul, inseparable entities working together. According to Aristotle, when Toby dances, his physical movements express not just his skills but also his emotions and passion, showing the inseparability of body and soul. David Hume: David Hume, a Scottish Enlightenment philosopher, rejected the idea of a fixed and enduring self, proposing the Bundle Theory. Hume argued that the self is a collection of perceptions, thoughts, and sensations that change over time. Barbara's enjoyment of various hobbies and evolving opinions align with Hume's view of the self as a dynamic entity shaped by experiences. Gilbert Ryle: Gilbert Ryle, a British philosopher, critiqued Cartesian dualism and coined the phrase "ghost in the machine." Ryle believed that the self is not a hidden entity but is manifested through actions and behaviors. Sarah's self is reflected in her selfless actions, illustrating Ryle's idea that the self is demonstrated through behavior rather than being an inner essence. Paul Churchland: Paul Churchland, a Canadian philosopher, focused on neurophilosophy and viewed the self as a product of brain activity. Churchland believed that our sense of self is tied to our brain's physical processes. Benedict's learning of the guitar and the changes in his brain shaping his self-perception align with Churchland's perspective on the self. Maurice Merleau-Ponty: Maurice Merleau-Ponty, a French philosopher, emphasized the connection between the self and the physical body, shaped by interactions with the environment. Joseph's expression through dance illustrates Merleau-Ponty's view that the self is inseparable from bodily experiences and interactions with the world. Augustine of Hippo: Augustine believed in the soul's longing for union with God due to original sin, leading to spiritual discontent. Plato: Plato argued that the self is immortal and consists of reason, spirit, and appetite, aiming for harmony among these parts. Socrates: Socrates emphasized self-knowledge and the importance of introspection for true wisdom and personal development. Immanuel Kant: Kant distinguished between the inner self (emotions and intellect) and the outer self (physical body and interactions with the world). John Locke: Locke's theory of the self was based on consciousness and personal identity, shaped by life experiences and memories. René Descartes: Descartes proposed dualism, separating the self into mind and body, with self-awareness proving one's existence. Sigmund Freud: Freud focused on the ego as a mediator between societal rules and instinctual drives, highlighting the dynamic interaction within the self. Mead’s Social Self Theory: Mead’s stages (Preparatory, Play, and Game) are outlined clearly, with relatable examples like imitating sounds or playing house. The explanation of the “I” and “Me” provides a succinct contrast between spontaneous action and socialized behavior, which could be reviewed for completeness. Engagement and Accessibility: The handout concludes with an empowering message about self-evolution, which adds a motivational tone. Review whether the references and language are sufficiently accessible for the intended audience. You might suggest simplifying or elaborating on complex concepts. Math World Patterns in Nature: Patterns: Recognized as sequences or designs that may not always be orderly, but are distinguishable from randomness. Examples include spots on a giraffe or the symmetry of a snowflake. Types of Patterns: Symmetry: Different sides of an object are identical (e.g., sea stars, snowflakes). Fractals: Never-ending patterns seen in nature, like trees and rivers. Spirals: Common in living organisms (e.g., nautilus shell), sometimes following a logarithmic spiral. Fibonacci Patterns: Sequence where each number is the sum of the two before it, seen in plant growth and honeybee family trees. Tessellations: Patterns formed by repeating shapes, often in both living and non-living things. Use of Mathematics: Technology: Math is critical in innovations such as GPS, digital music, and search engines. Engineering: Used in designing products, building structures, and problem-solving in various fields like construction and robotics. Media: Mathematical concepts are used in creating graphics, digital music, and analyzing polling data. Medicine and Health: Statistics help in device development and analyzing medical trends like epidemics. Finance and Business: Business operations rely on mathematics for managing finances, pricing, and detecting fraud. Mathematical Symbols: Common symbols include + (addition), − (subtraction), × (multiplication), ÷ (division), ∞ (infinity), ≈ (approximately equal to), and √ (square root). Characteristics of Mathematical Language: Precise: Makes fine distinctions. Concise: Expresses ideas briefly. Powerful: Represents complex ideas clearly. English to Mathematical Language: In English, nouns and sentences form complete thoughts, whereas in math, expressions represent objects, and sentences are complete mathematical thoughts. Example: "Carol loves mathematics" becomes "3 + 4 = 7" in math. Sets, Functions, and Relations: Sets: Collections of objects, where symbols like ∈ are used to denote membership in a set. Functions: Transform mathematical objects (e.g., square roots, cosines). Relations: Phrases like "less than" are represented by symbols such as "