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Talk:Conditional proof

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365: 138: 148: 360: 375: 113: 370: 380: 337: 214:: "formal proof." If anyone can improve on this, that would be much appreciated (if seen fit). As it stands, it appears fine for now. 330:
The conclusion ∼ C was deduced on line 8. Together with the assumption A → B in line 3, this proves the conditional (A → B) → C.
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I feel the example given is too similar to syllogism and thus slightly confusing. A better example is as follows, from
211: 185: 63: 236: 21: 341: 221: 39: 333: 217: 95: 246:, suppose we want to prove (A → B)→ ~C (If , then not C)from the first two premises below: 243: 177: 354: 108: 85: 237:
http://marauder.millersville.edu/~bikenaga/mathproof/condproof/condproof.pdf
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A → B   (conditional proof assumption, "Suppose "If A, then B" is true")
107:, a collaborative effort to improve the coverage of content related to 79: 52: 15: 176: 324:(A → B)→ ~C   (Conditional Proof, based on lines 3 and 8) 159: 308:~D    (Law of Simplification, based on line 1) 300:C → D   (Modus Ponens, based on lines 2 and 5) 316:~C    (Modus Tollens, based on lines 6 and 7) 284:A   (Law of Simplification, based on line 1) 8: 292:B   (Modus Ponens, based on lines 1 and 3) 19: 156: 47: 242:As an example of a conditional proof in 49: 117:about philosophy content on Knowledge. 7: 101:This article is within the scope of 366:High-importance Philosophy articles 38:It is of interest to the following 14: 123:Knowledge:WikiProject Philosophy 88: 78: 51: 20: 361:Start-Class Philosophy articles 263:B → (C → D)    ("If B, then ") 143:This article has been rated as 126:Template:WikiProject Philosophy 376:High-importance logic articles 1: 226:12:55, 31 December 2021 (UTC) 320: 312: 304: 296: 288: 280: 272: 259: 251: 397: 371:Start-Class logic articles 255:A∧ ~ D    ("A and not D") 149:project's importance scale 381:Logic task force articles 346:01:04, 25 July 2009 (UTC) 267: 184: 155: 142: 73: 46: 160:Associated task forces: 181: 104:WikiProject Philosophy 28:This article is rated 180: 129:Philosophy articles 182: 114:general discussion 34:content assessment 336:comment added by 328: 327: 212:short description 206:Short description 203: 202: 199: 198: 195: 194: 191: 190: 96:Philosophy portal 388: 348: 249: 248: 167: 157: 131: 130: 127: 124: 121: 98: 93: 92: 91: 82: 75: 74: 69: 66: 55: 48: 31: 25: 24: 16: 396: 395: 391: 390: 389: 387: 386: 385: 351: 350: 331: 233: 208: 165: 145:High-importance 128: 125: 122: 119: 118: 94: 89: 87: 68:High‑importance 67: 61: 32:on Knowledge's 29: 12: 11: 5: 394: 392: 384: 383: 378: 373: 368: 363: 353: 352: 326: 325: 322: 318: 317: 314: 310: 309: 306: 302: 301: 298: 294: 293: 290: 286: 285: 282: 278: 277: 274: 270: 269: 268: 265: 264: 261: 257: 256: 253: 244:symbolic logic 232: 229: 207: 204: 201: 200: 197: 196: 193: 192: 189: 188: 183: 173: 172: 170: 168: 162: 161: 153: 152: 141: 135: 134: 132: 100: 99: 83: 71: 70: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 393: 382: 379: 377: 374: 372: 369: 367: 364: 362: 359: 358: 356: 349: 347: 343: 339: 335: 323: 319: 315: 311: 307: 303: 299: 295: 291: 287: 283: 279: 275: 271: 266: 262: 258: 254: 250: 247: 245: 240: 238: 230: 228: 227: 223: 219: 215: 213: 205: 187: 179: 175: 174: 171: 169: 164: 163: 158: 154: 150: 146: 140: 137: 136: 133: 116: 115: 110: 106: 105: 97: 86: 84: 81: 77: 76: 72: 65: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 338:70.18.214.96 329: 241: 234: 218:SpiralSource 216: 210:I added the 209: 144: 112: 102: 40:WikiProjects 332:—Preceding 30:Start-class 355:Categories 120:Philosophy 109:philosophy 59:Philosophy 334:unsigned 231:Untitled 147:on the 36:scale. 186:Logic 64:Logic 342:talk 222:talk 139:High 357:: 344:) 321:9. 313:8. 305:7. 297:6. 289:5. 281:4. 273:3. 260:2. 252:1. 239:: 224:) 166:/ 62:: 340:( 220:( 151:. 42::

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http://marauder.millersville.edu/~bikenaga/mathproof/condproof/condproof.pdf
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