Core Philosophical Concepts Explained
Fundamental Philosophical Concepts
Pre-Rational Ideas & Justification
These concepts often precede or underpin rational thought:
- Theoretical Justification: The basis for understanding.
- Imagination: A key faculty in forming ideas.
- Grounded Understanding: Comprehending the whole tradition.
- Ultimate Justification: The final and justifying principle.
- Supernatural: Concepts beyond natural explanation.
- Arbitrariness: Lack of inherent reason or order.
- Symbolic: Representation through symbols.
Core Characteristics
Read MorePrimary Language Skills & CLIL Integration
Primary Language Skill Development
Listening Skills Progression
Years 1 & 2 Primary
- Understand a tale told by the teacher with necessary interactional modifications.
- Understand a very simple dialogue (audio recording) with visual aid.
- Understand words and phrases (audio recording).
- Understand a song or chant (audio recording).
- Follow single instructions given by the teacher in English for general classroom management or specific tasks.
Years 3 & 4 Primary
- Understand a tale told by the teacher with
Venezuela’s Historical Border Disputes: Colombia, Brazil, Guyana
Venezuela’s Historical Border Disputes
The Michelena-Pombo Treaty (1833)
On December 14, 1833, three years after the dissolution of Gran Colombia, Lino de Pombo, representing Colombia, and Santos Michelena, representing Venezuela, signed a treaty of friendship, alliance, commerce, navigation, and limits. This treaty, however, was rejected by Venezuelan congress members.
Subsequent Agreements with Colombia
After the Michelena-Pombo treaty, another agreement was signed on July 23, 1842, focusing on friendship,
Read MoreNephron: Kidney Structure, Function, and Regulation
The nephron is the functional unit of the kidney. Each kidney contains approximately 1 million nephrons, which do not regenerate if destroyed. From age 40, approximately 1% of nephrons are lost each year.
Components of the Nephron
The nephron is primarily formed by the glomerulus and the tubular system.
Glomerulus
An afferent arteriole, originating from the renal artery, reaches the glomerulus and branches into glomerular capillaries. These capillaries are highly permeable—approximately 400 times
Read MoreMastering Vermicomposting: Stages & Essential Care
Introduction to Vermicomposting
Vermicomposting is a bio-oxidative process in which earthworms convert organic waste into nutrient-rich compost known as vermicompost or worm castings. This method is eco-friendly, cost-effective, and highly efficient in recycling organic matter. It not only helps in waste management but also improves soil health, fertility, and crop yield naturally.
The process depends on the activity of decomposer organisms, mainly earthworms such as Eisenia fetida, Eudrilus eugeniae,
Read MoreSpanish Economic Shifts: Colonial Trade and Fiscal Challenges
ITEM 3: Colonial Trade and Fiscal Crises
Contradictions in Colonial Trade and Fiscal Crisis
Colonial Trade Crisis
Spain’s economy faced challenges due to its colonial trade. The nation imported more food and manufactured goods than it produced, as it primarily exported raw materials. After the loss of colonies, imports of food and manufactured goods were initially prohibited. While this succeeded for food, it failed for manufacturing due to widespread smuggling.
The economy was underdeveloped, exporting
Read MoreCorporate Governance Essentials: Principles, Theories, and Best Practices
Corporate Governance: Definition & Core Principles
Corporate governance is the system of rules, practices, and processes by which a company is directed and controlled. It involves balancing the interests of various stakeholders such as shareholders, management, customers, suppliers, financiers, government, and the community.
Key Principles of Corporate Governance (OECD Framework)
- Transparency – Accurate and timely disclosure of financial and operational information.
- Accountability – Clear responsibilities
Brazilian Folklore, Personal Journeys, and Language Insights
The Legend of Saci-Pererê
Saci-Pererê is a well-known character in Brazilian folklore. He is a mischievous, one-legged Black boy who smokes a pipe and wears a red cap that grants him magical powers. He appears like a whirlwind and enjoys playing pranks on animals and people. His favorite tricks include making objects disappear and disrupting cooks’ work by swapping salt and sugar containers or causing food to burn. Additionally, he is the guardian of herbs and medicinal plants, skilled in preparing
Read MoreQuantitative Methods & Machine Learning Essentials
Likelihood Function
The likelihood function describes how observed data depends on the model parameters, θ. It is often denoted as p(x|θ).
Maximum Likelihood Estimation (MLE)
The Maximum Likelihood Estimator (MLE), δ(x), is defined as:
or equivalently:
The Gaussian log-likelihood is shown above.
Asymptotic Distribution of MLE
When n is large, the asymptotic distribution of the MLE is given by:
where:
Examples include:
- Gaussian:
- Exponential:
Bayesian Estimation
The Bayesian forecast is given by:
Assume the
Read MoreEthical Dimensions: Free Will, Society, and Business Accountability
Understanding Free Will: Debates and Perspectives
Free will controls our own decisions, meaning we can choose what we do without being forced. Philosopher Sam Harris, however, argues that free will is an illusion.
The concept of free will is often based on two premises:
- We are free to behave differently than in the past.
- We consciously control our thoughts and actions.
Harris contends that the choices we make stem from prior causes we cannot see or control. He suggests that understanding this can shift
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