01
Security Concepts
Establishing security's units of measure: the confidentiality, integrity, and availability axes overlapping on the same asset, the asset, threat, and vulnerability terms separated into distinct lists in the same inventory, risk calculated as the composition of probability and impact and turned into a ranking, the chain from vulnerability to impact broken into steps, and attack surface reduced to a countable number of paths in an access graph.
- 01 Confidentiality, Integrity and Availability The three axes overlapping on the same asset: in a model with eight assets and six decisions, 27 (item, axis) pairs rise while 22 fall; the confidentiality total climbs from 34 to 41, integrity from 44 to 63, and availability from 47 to 51; a decision with zero net effect raises availability by nine points while lowering confidentiality by six; on key loss the availability total drops from 51 to 24 and four of eight assets are zeroed; and through all of it the average score falls only from 6.5 to 5.3.
- 02 Asset, Threat and Vulnerability Separating three terms into the same inventory: the cartesian product of 8 assets, 6 threats, and 12 vulnerabilities is 576, while the valid-triple count drops to 19, or 3.3%; two assets each carrying two vulnerabilities produce 1 and 4 triples; a vulnerability no threat can reach carries zero triples; two threats carrying the same five triples touch 4 and 5 separate assets; closing five of twelve vulnerabilities closes 12 of the 19 triples; and narrowing an asset's zone closes 3, 2, 1, or no triples at all.
- 03 Risk Definition Calculating risk as the composition of probability and impact: in a 12-item list the total expected loss comes to 176.05 fictional units; banded scoring changes the rank of 9 items in the same list, carries the largest shift to 6 positions, and leaves only 2 of the top five shared; for threshold scoring those numbers are 7, 4, and 4; a four-item budget closes 77.00, 67.60, and 71.40 units across the three scoring schemes; and two items carrying the same 18.00 expected loss produce 4.0 and 0.3 events over ten years.
- 04 Exploit and Payload Breaking the chain from vulnerability to impact into steps: 5 exploits and 4 payloads produce 12 valid chains; chain length ranges from 2 to 7 and totals 53 steps; breaking a single step cuts at most 8 chains; blocking a payload cuts at most 5 chains and blocking an exploit at most 4; the same break leaves 0 completed steps at access and 41 at impact; even when all six middle steps are broken, 1 of 12 chains still stands; and that single chain carries 25.7% of the total probability mass.
- 05 Attack Surface Converting surface into a countable unit: in a 13-node, 21-edge access graph, four entry points to two targets produce 35 separate paths; the entry point carrying only 1.4% of total legitimate work opens 37.1% of the paths; a single edge can close 14 paths; one edge stops 4 legitimate work items and closes no path at all; greedy narrowing by ratio zeroes the paths at a cost of 31 legitimate work items, and closing all entry points reaches the same result at a cost of 27.